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Finding the Fourth Proportional to 71,084.57, 106,534.31 and 28,915.47

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Solution

The fourth proportional to 71,084.57, 106,534.31 and 28,915.47 is: 43,335.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084.57 : 106,534.31 = 28,915.47 : x
  2. Step 2: Convert to fraction form
    71,084.57/106,534.31 = 28,915.47/x
  3. Step 3: Cross multiply
    71,084.57x = 106,534.31 × 28,915.47
  4. Step 4: Simplify right side
    71,084.57x = 3,080,489,500.20
  5. Step 5: Solve for x
    x = 3,080,489,500.20/71,084.57
  6. Step 6: Final answer
    x = 43,335.56

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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.