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Finding the Fourth Proportional to 71,781.96, 107,694.78 and 36,746.20

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Solution

The fourth proportional to 71,781.96, 107,694.78 and 36,746.20 is: 55,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.96 : 107,694.78 = 36,746.20 : x
  2. Step 2: Convert to fraction form
    71,781.96/107,694.78 = 36,746.20/x
  3. Step 3: Cross multiply
    71,781.96x = 107,694.78 × 36,746.20
  4. Step 4: Simplify right side
    71,781.96x = 3,957,373,924.84
  5. Step 5: Solve for x
    x = 3,957,373,924.84/71,781.96
  6. Step 6: Final answer
    x = 55,130.48

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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.