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Finding the Fourth Proportional to 71,659.20, 107,340.96 and 41,987

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Solution

The fourth proportional to 71,659.20, 107,340.96 and 41,987 is: 62,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,659.20 : 107,340.96 = 41,987 : x
  2. Step 2: Convert to fraction form
    71,659.20/107,340.96 = 41,987/x
  3. Step 3: Cross multiply
    71,659.20x = 107,340.96 × 41,987
  4. Step 4: Simplify right side
    71,659.20x = 4,506,924,887.52
  5. Step 5: Solve for x
    x = 4,506,924,887.52/71,659.20
  6. Step 6: Final answer
    x = 62,893.88

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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.