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Finding the Fourth Proportional to 81,909.60, 122,691.60 and 68,085.60

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Solution

The fourth proportional to 81,909.60, 122,691.60 and 68,085.60 is: 101,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.60 : 122,691.60 = 68,085.60 : x
  2. Step 2: Convert to fraction form
    81,909.60/122,691.60 = 68,085.60/x
  3. Step 3: Cross multiply
    81,909.60x = 122,691.60 × 68,085.60
  4. Step 4: Simplify right side
    81,909.60x = 8,353,531,200.96
  5. Step 5: Solve for x
    x = 8,353,531,200.96/81,909.60
  6. Step 6: Final answer
    x = 101,984.76

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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.