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Finding the Fourth Proportional to 71,509.74, 107,264.68 and 36,474

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Solution

The fourth proportional to 71,509.74, 107,264.68 and 36,474 is: 54,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.74 : 107,264.68 = 36,474 : x
  2. Step 2: Convert to fraction form
    71,509.74/107,264.68 = 36,474/x
  3. Step 3: Cross multiply
    71,509.74x = 107,264.68 × 36,474
  4. Step 4: Simplify right side
    71,509.74x = 3,912,371,938.32
  5. Step 5: Solve for x
    x = 3,912,371,938.32/71,509.74
  6. Step 6: Final answer
    x = 54,711.04

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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.