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Finding the Fourth Proportional to 138,909, 208,363.32 and 33,727.80

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Solution

The fourth proportional to 138,909, 208,363.32 and 33,727.80 is: 50,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,909 : 208,363.32 = 33,727.80 : x
  2. Step 2: Convert to fraction form
    138,909/208,363.32 = 33,727.80/x
  3. Step 3: Cross multiply
    138,909x = 208,363.32 × 33,727.80
  4. Step 4: Simplify right side
    138,909x = 7,027,636,384.30
  5. Step 5: Solve for x
    x = 7,027,636,384.30/138,909
  6. Step 6: Final answer
    x = 50,591.66

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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.