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Finding the Fourth Proportional to 80,414.16, 120,630.60 and 30,531.60

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Solution

The fourth proportional to 80,414.16, 120,630.60 and 30,531.60 is: 45,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,414.16 : 120,630.60 = 30,531.60 : x
  2. Step 2: Convert to fraction form
    80,414.16/120,630.60 = 30,531.60/x
  3. Step 3: Cross multiply
    80,414.16x = 120,630.60 × 30,531.60
  4. Step 4: Simplify right side
    80,414.16x = 3,683,045,226.96
  5. Step 5: Solve for x
    x = 3,683,045,226.96/80,414.16
  6. Step 6: Final answer
    x = 45,800.95

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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.