Finding the Fourth Proportional to 209,035.14, 288,470.64 and 113,543.70
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Solution
The fourth proportional to 209,035.14, 288,470.64 and 113,543.70 is: 156,691.47
Step by Step Solution
- Step 1: Write the proportion equation
209,035.14 : 288,470.64 = 113,543.70 : x - Step 2: Convert to fraction form
209,035.14/288,470.64 = 113,543.70/x - Step 3: Cross multiply
209,035.14x = 288,470.64 × 113,543.70 - Step 4: Simplify right side
209,035.14x = 32,754,023,806.97 - Step 5: Solve for x
x = 32,754,023,806.97/209,035.14 - Step 6: Final answer
x = 156,691.47
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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.