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Finding the Fourth Proportional to 80,291.89, 120,457.81 and 24,132.90

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Solution

The fourth proportional to 80,291.89, 120,457.81 and 24,132.90 is: 36,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,291.89 : 120,457.81 = 24,132.90 : x
  2. Step 2: Convert to fraction form
    80,291.89/120,457.81 = 24,132.90/x
  3. Step 3: Cross multiply
    80,291.89x = 120,457.81 × 24,132.90
  4. Step 4: Simplify right side
    80,291.89x = 2,906,996,282.95
  5. Step 5: Solve for x
    x = 2,906,996,282.95/80,291.89
  6. Step 6: Final answer
    x = 36,205.35

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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.