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Finding the Fourth Proportional to 138,616.76, 207,923.31 and 33,434.88

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Solution

The fourth proportional to 138,616.76, 207,923.31 and 33,434.88 is: 50,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,616.76 : 207,923.31 = 33,434.88 : x
  2. Step 2: Convert to fraction form
    138,616.76/207,923.31 = 33,434.88/x
  3. Step 3: Cross multiply
    138,616.76x = 207,923.31 × 33,434.88
  4. Step 4: Simplify right side
    138,616.76x = 6,951,890,919.05
  5. Step 5: Solve for x
    x = 6,951,890,919.05/138,616.76
  6. Step 6: Final answer
    x = 50,151.88

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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.