Question

In a proportion, the first, third and fourth terms are $80,30,and24$ respectively. Find the second term.

Answer 1

It is given that First, third and fourth terms are $80,30,and24$ respectively.

So, we have to find the Second Term

Let the Second term be $x$

Then the proportion be $80:x::30:24$

we know that if $a:b::c:d$ are in a proportion

Then, $a\times d=b\times c$ --------------------------$eq\left(1\right)$

Now by using $eq\left(1\right)$ we get,

$$\begin{gathered} \Rightarrow x\times 30=80\times 24 \\ \Rightarrow 30x=1920 \\ \Rightarrow x=\frac{1920}{30} \\ \Rightarrow x=64 \end{gathered}$$

Hence, the Second term is $64$.