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Finding the Fourth Proportional to 71,240.27, 106,820.88 and 29,149.88

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Solution

The fourth proportional to 71,240.27, 106,820.88 and 29,149.88 is: 43,708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,240.27 : 106,820.88 = 29,149.88 : x
  2. Step 2: Convert to fraction form
    71,240.27/106,820.88 = 29,149.88/x
  3. Step 3: Cross multiply
    71,240.27x = 106,820.88 × 29,149.88
  4. Step 4: Simplify right side
    71,240.27x = 3,113,815,299.39
  5. Step 5: Solve for x
    x = 3,113,815,299.39/71,240.27
  6. Step 6: Final answer
    x = 43,708.64

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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.