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Finding the Fourth Proportional to 138,745.76, 208,095.16 and 38,882.97

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Solution

The fourth proportional to 138,745.76, 208,095.16 and 38,882.97 is: 58,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.76 : 208,095.16 = 38,882.97 : x
  2. Step 2: Convert to fraction form
    138,745.76/208,095.16 = 38,882.97/x
  3. Step 3: Cross multiply
    138,745.76x = 208,095.16 × 38,882.97
  4. Step 4: Simplify right side
    138,745.76x = 8,091,357,863.43
  5. Step 5: Solve for x
    x = 8,091,357,863.43/138,745.76
  6. Step 6: Final answer
    x = 58,317.87

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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.