Finding the Fourth Proportional to 142,342.67, 196,432.92 and 77,812.19
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Solution
The fourth proportional to 142,342.67, 196,432.92 and 77,812.19 is: 107,380.84
Step by Step Solution
- Step 1: Write the proportion equation
142,342.67 : 196,432.92 = 77,812.19 : x - Step 2: Convert to fraction form
142,342.67/196,432.92 = 77,812.19/x - Step 3: Cross multiply
142,342.67x = 196,432.92 × 77,812.19 - Step 4: Simplify right side
142,342.67x = 15,284,874,711.13 - Step 5: Solve for x
x = 15,284,874,711.13/142,342.67 - Step 6: Final answer
x = 107,380.84
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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.