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Finding the Fourth Proportional to 80,459.86, 120,711.56 and 24,301.80

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Solution

The fourth proportional to 80,459.86, 120,711.56 and 24,301.80 is: 36,459.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,459.86 : 120,711.56 = 24,301.80 : x
  2. Step 2: Convert to fraction form
    80,459.86/120,711.56 = 24,301.80/x
  3. Step 3: Cross multiply
    80,459.86x = 120,711.56 × 24,301.80
  4. Step 4: Simplify right side
    80,459.86x = 2,933,508,188.81
  5. Step 5: Solve for x
    x = 2,933,508,188.81/80,459.86
  6. Step 6: Final answer
    x = 36,459.28

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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.