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Finding the Fourth Proportional to 71,264.97, 106,865.87 and 37,978.83

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Solution

The fourth proportional to 71,264.97, 106,865.87 and 37,978.83 is: 56,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,264.97 : 106,865.87 = 37,978.83 : x
  2. Step 2: Convert to fraction form
    71,264.97/106,865.87 = 37,978.83/x
  3. Step 3: Cross multiply
    71,264.97x = 106,865.87 × 37,978.83
  4. Step 4: Simplify right side
    71,264.97x = 4,058,640,519.64
  5. Step 5: Solve for x
    x = 4,058,640,519.64/71,264.97
  6. Step 6: Final answer
    x = 56,951.41

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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.