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Finding the Fourth Proportional to 138,329, 207,545.80 and 54,149.32

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Solution

The fourth proportional to 138,329, 207,545.80 and 54,149.32 is: 81,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,329 : 207,545.80 = 54,149.32 : x
  2. Step 2: Convert to fraction form
    138,329/207,545.80 = 54,149.32/x
  3. Step 3: Cross multiply
    138,329x = 207,545.80 × 54,149.32
  4. Step 4: Simplify right side
    138,329x = 11,238,463,938.86
  5. Step 5: Solve for x
    x = 11,238,463,938.86/138,329
  6. Step 6: Final answer
    x = 81,244.45

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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.