Finding the Fourth Proportional to 204,438.74, 282,125.40 and 113,792.75
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Solution
The fourth proportional to 204,438.74, 282,125.40 and 113,792.75 is: 157,033.96
Step by Step Solution
- Step 1: Write the proportion equation
204,438.74 : 282,125.40 = 113,792.75 : x - Step 2: Convert to fraction form
204,438.74/282,125.40 = 113,792.75/x - Step 3: Cross multiply
204,438.74x = 282,125.40 × 113,792.75 - Step 4: Simplify right side
204,438.74x = 32,103,823,700.22 - Step 5: Solve for x
x = 32,103,823,700.22/204,438.74 - Step 6: Final answer
x = 157,033.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.