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Finding the Fourth Proportional to 137,624, 206,470.68 and 39,128

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Solution

The fourth proportional to 137,624, 206,470.68 and 39,128 is: 58,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624 : 206,470.68 = 39,128 : x
  2. Step 2: Convert to fraction form
    137,624/206,470.68 = 39,128/x
  3. Step 3: Cross multiply
    137,624x = 206,470.68 × 39,128
  4. Step 4: Simplify right side
    137,624x = 8,078,784,767.04
  5. Step 5: Solve for x
    x = 8,078,784,767.04/137,624
  6. Step 6: Final answer
    x = 58,701.86

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