Finding the Fourth Proportional to 206,116.38, 284,437.98 and 115,470.70
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Solution
The fourth proportional to 206,116.38, 284,437.98 and 115,470.70 is: 159,348.09
Step by Step Solution
- Step 1: Write the proportion equation
206,116.38 : 284,437.98 = 115,470.70 : x - Step 2: Convert to fraction form
206,116.38/284,437.98 = 115,470.70/x - Step 3: Cross multiply
206,116.38x = 284,437.98 × 115,470.70 - Step 4: Simplify right side
206,116.38x = 32,844,251,946.09 - Step 5: Solve for x
x = 32,844,251,946.09/206,116.38 - Step 6: Final answer
x = 159,348.09
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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.