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Finding the Fourth Proportional to 137,711.87, 206,505.45 and 48,967.71

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Solution

The fourth proportional to 137,711.87, 206,505.45 and 48,967.71 is: 73,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,711.87 : 206,505.45 = 48,967.71 : x
  2. Step 2: Convert to fraction form
    137,711.87/206,505.45 = 48,967.71/x
  3. Step 3: Cross multiply
    137,711.87x = 206,505.45 × 48,967.71
  4. Step 4: Simplify right side
    137,711.87x = 10,112,098,989.02
  5. Step 5: Solve for x
    x = 10,112,098,989.02/137,711.87
  6. Step 6: Final answer
    x = 73,429.40

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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.