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Finding the Fourth Proportional to 80,640.40, 120,960.60 and 71,731.60

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Solution

The fourth proportional to 80,640.40, 120,960.60 and 71,731.60 is: 107,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640.40 : 120,960.60 = 71,731.60 : x
  2. Step 2: Convert to fraction form
    80,640.40/120,960.60 = 71,731.60/x
  3. Step 3: Cross multiply
    80,640.40x = 120,960.60 × 71,731.60
  4. Step 4: Simplify right side
    80,640.40x = 8,676,697,374.96
  5. Step 5: Solve for x
    x = 8,676,697,374.96/80,640.40
  6. Step 6: Final answer
    x = 107,597.40

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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.