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Finding the Fourth Proportional to 80,431.60, 120,690.60 and 33,689.20

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Solution

The fourth proportional to 80,431.60, 120,690.60 and 33,689.20 is: 50,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,431.60 : 120,690.60 = 33,689.20 : x
  2. Step 2: Convert to fraction form
    80,431.60/120,690.60 = 33,689.20/x
  3. Step 3: Cross multiply
    80,431.60x = 120,690.60 × 33,689.20
  4. Step 4: Simplify right side
    80,431.60x = 4,065,969,761.52
  5. Step 5: Solve for x
    x = 4,065,969,761.52/80,431.60
  6. Step 6: Final answer
    x = 50,551.89

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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.