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Finding the Fourth Proportional to 71,781.80, 107,694.77 and 36,746.06

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Solution

The fourth proportional to 71,781.80, 107,694.77 and 36,746.06 is: 55,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.80 : 107,694.77 = 36,746.06 : x
  2. Step 2: Convert to fraction form
    71,781.80/107,694.77 = 36,746.06/x
  3. Step 3: Cross multiply
    71,781.80x = 107,694.77 × 36,746.06
  4. Step 4: Simplify right side
    71,781.80x = 3,957,357,757.90
  5. Step 5: Solve for x
    x = 3,957,357,757.90/71,781.80
  6. Step 6: Final answer
    x = 55,130.38

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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.