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Finding the Fourth Proportional to 138,732.97, 208,134.69 and 38,893.60

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Solution

The fourth proportional to 138,732.97, 208,134.69 and 38,893.60 is: 58,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.97 : 208,134.69 = 38,893.60 : x
  2. Step 2: Convert to fraction form
    138,732.97/208,134.69 = 38,893.60/x
  3. Step 3: Cross multiply
    138,732.97x = 208,134.69 × 38,893.60
  4. Step 4: Simplify right side
    138,732.97x = 8,095,107,378.98
  5. Step 5: Solve for x
    x = 8,095,107,378.98/138,732.97
  6. Step 6: Final answer
    x = 58,350.28

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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.