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Finding the Fourth Proportional to 80,167.68, 120,294.18 and 45,109.80

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Solution

The fourth proportional to 80,167.68, 120,294.18 and 45,109.80 is: 67,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,167.68 : 120,294.18 = 45,109.80 : x
  2. Step 2: Convert to fraction form
    80,167.68/120,294.18 = 45,109.80/x
  3. Step 3: Cross multiply
    80,167.68x = 120,294.18 × 45,109.80
  4. Step 4: Simplify right side
    80,167.68x = 5,426,446,400.96
  5. Step 5: Solve for x
    x = 5,426,446,400.96/80,167.68
  6. Step 6: Final answer
    x = 67,688.70

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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.