It's Not A Bug, It's A Feature Just another Developer weblog

add_action( 'show_user_profile', 'show_extra_profile_fields' );
add_action( 'edit_user_profile', 'show_extra_profile_fields' );
add_action( 'personal_options_update', 'update_extra_fields' );
add_action( 'edit_user_profile_update', 'update_extra_fields' );

function update_extra_fields( $user_id )  {
    if ( !current_user_can( 'edit_user', $user_id ) )
        return false;
    update_usermeta( $user_id, 'city',$_POST['city'] );
    update_usermeta( $user_id, 'state',$_POST['state'] );
        update_usermeta( $user_id, 'zip',$_POST['zip'] );
}
<?php
function my_show_extra_profile_fields( $user ) {
    ?>
    <table class="form-table">
        <tr>
            <th><label for="city">City</label></th>
            <td><input type="text" name="city" id="city" value="<?php echo esc_attr( get_the_author_meta( 'city', $user->ID ) ) ?>" class="regular-text" /><br /></td>
        </tr>
       
        <tr>
            <th><label for="state">State</label></th>
            <td><input type="text" name="state" id="state" value="<?php echo esc_attr( get_the_author_meta( 'state', $user->ID ) ) ?>" class="regular-text" /><br /></td>
        </tr>
        <tr>
            <th><label for="zip">Zip</label></th>
            <td><input type="text" name="zip" id="zip" value="<?php echo esc_attr( get_the_author_meta( 'zip', $user->ID ) ) ?>" class="regular-text" /><br /></td>
        </tr>
    </table>
    <?php
}