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Finding the Fourth Proportional to 138,500.71, 207,788.08 and 49,754.98

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Solution

The fourth proportional to 138,500.71, 207,788.08 and 49,754.98 is: 74,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,500.71 : 207,788.08 = 49,754.98 : x
  2. Step 2: Convert to fraction form
    138,500.71/207,788.08 = 49,754.98/x
  3. Step 3: Cross multiply
    138,500.71x = 207,788.08 × 49,754.98
  4. Step 4: Simplify right side
    138,500.71x = 10,338,491,764.64
  5. Step 5: Solve for x
    x = 10,338,491,764.64/138,500.71
  6. Step 6: Final answer
    x = 74,645.77

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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.