Finding the Fourth Proportional to 147,657.76, 203,757.14 and 83,123.66
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Solution
The fourth proportional to 147,657.76, 203,757.14 and 83,123.66 is: 114,704.70
Step by Step Solution
- Step 1: Write the proportion equation
147,657.76 : 203,757.14 = 83,123.66 : x - Step 2: Convert to fraction form
147,657.76/203,757.14 = 83,123.66/x - Step 3: Cross multiply
147,657.76x = 203,757.14 × 83,123.66 - Step 4: Simplify right side
147,657.76x = 16,937,038,812.31 - Step 5: Solve for x
x = 16,937,038,812.31/147,657.76 - Step 6: Final answer
x = 114,704.70
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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.