Question

In a proportion, the second, third and fourth terms are 68, 81 and 108 respectively, find the first term:​

Answer 1

Correct Question:-

In a proportion, the second, third and fourth terms are 68, 81 and 108 respectively, find the first term:

Given:-

• Second term = 68
• Third term = 81
• Fourth term = 108

To Find:-

• First term

Solution:-

$\large{ \tt \longmapsto \: \: \: \: \: \: \: \: x : 68: : 81: 108}$

$\large{ \tt \longmapsto \: \: \: \: \: \: \: \: \frac{x}{68} = \frac{81}{108}}$

After cross multiplication,

$\large{ \tt \longmapsto \: \: \: \: \: \: \: \: x \times 108 = 81 \times 68}$

$\large{ \tt \longmapsto \: \: \: \: \: \: \: \: x = \frac{81 \times 68}{108}}$

$\large{ \tt \longmapsto \: \: \: \: \: \: \: \: \boxed{ \red{ \mathfrak{x = 51}}}}$

Hence,

• The first term is 51