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Finding the Fourth Proportional to 71,381.38, 107,044.38 and 38,083.28

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Solution

The fourth proportional to 71,381.38, 107,044.38 and 38,083.28 is: 57,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,381.38 : 107,044.38 = 38,083.28 : x
  2. Step 2: Convert to fraction form
    71,381.38/107,044.38 = 38,083.28/x
  3. Step 3: Cross multiply
    71,381.38x = 107,044.38 × 38,083.28
  4. Step 4: Simplify right side
    71,381.38x = 4,076,601,095.97
  5. Step 5: Solve for x
    x = 4,076,601,095.97/71,381.38
  6. Step 6: Final answer
    x = 57,110.15

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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.