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Finding the Fourth Proportional to 206,715.38, 310,073.13 and 66,474

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Solution

The fourth proportional to 206,715.38, 310,073.13 and 66,474 is: 99,711.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,715.38 : 310,073.13 = 66,474 : x
  2. Step 2: Convert to fraction form
    206,715.38/310,073.13 = 66,474/x
  3. Step 3: Cross multiply
    206,715.38x = 310,073.13 × 66,474
  4. Step 4: Simplify right side
    206,715.38x = 20,611,801,243.62
  5. Step 5: Solve for x
    x = 20,611,801,243.62/206,715.38
  6. Step 6: Final answer
    x = 99,711.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.