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Finding the Fourth Proportional to 138,968, 208,463.52 and 40,472

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Solution

The fourth proportional to 138,968, 208,463.52 and 40,472 is: 60,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,968 : 208,463.52 = 40,472 : x
  2. Step 2: Convert to fraction form
    138,968/208,463.52 = 40,472/x
  3. Step 3: Cross multiply
    138,968x = 208,463.52 × 40,472
  4. Step 4: Simplify right side
    138,968x = 8,436,935,581.44
  5. Step 5: Solve for x
    x = 8,436,935,581.44/138,968
  6. Step 6: Final answer
    x = 60,711.35

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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.