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Finding the Fourth Proportional to 138,297, 207,399.24 and 54,035.31

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Solution

The fourth proportional to 138,297, 207,399.24 and 54,035.31 is: 81,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,297 : 207,399.24 = 54,035.31 : x
  2. Step 2: Convert to fraction form
    138,297/207,399.24 = 54,035.31/x
  3. Step 3: Cross multiply
    138,297x = 207,399.24 × 54,035.31
  4. Step 4: Simplify right side
    138,297x = 11,206,882,227.16
  5. Step 5: Solve for x
    x = 11,206,882,227.16/138,297
  6. Step 6: Final answer
    x = 81,034.89

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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.