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Finding the Fourth Proportional to 71,691.60, 107,532 and 28,999.74

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Solution

The fourth proportional to 71,691.60, 107,532 and 28,999.74 is: 43,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.60 : 107,532 = 28,999.74 : x
  2. Step 2: Convert to fraction form
    71,691.60/107,532 = 28,999.74/x
  3. Step 3: Cross multiply
    71,691.60x = 107,532 × 28,999.74
  4. Step 4: Simplify right side
    71,691.60x = 3,118,400,041.68
  5. Step 5: Solve for x
    x = 3,118,400,041.68/71,691.60
  6. Step 6: Final answer
    x = 43,497.43

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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.