Question

Determine if the following are in proportion: $32,48,70,210$

Answer 1

We have,

$32,48,70,210$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}32\mathrm{and}48& =& \frac{32}{48}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}16\\ & =& \frac{2}{3}\\ & =& 2:3\end{array}$

$\begin{array}{rcl}\mathrm{Ratio}\mathrm{of}70\mathrm{and}210& =& \frac{70}{210}\\ & & \mathrm{Dividing}\mathrm{numerator}\mathrm{and}\mathrm{denominator}\mathrm{by}70\\ & =& \frac{1}{3}\\ & =& 1:3\end{array}$

Since, $32:48=70:210$

Hence, $32,48,70,210$ are in proportion.