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Finding the Fourth Proportional to 80,861.40, 121,287.96 and 30,965.40

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Solution

The fourth proportional to 80,861.40, 121,287.96 and 30,965.40 is: 46,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,861.40 : 121,287.96 = 30,965.40 : x
  2. Step 2: Convert to fraction form
    80,861.40/121,287.96 = 30,965.40/x
  3. Step 3: Cross multiply
    80,861.40x = 121,287.96 × 30,965.40
  4. Step 4: Simplify right side
    80,861.40x = 3,755,730,196.58
  5. Step 5: Solve for x
    x = 3,755,730,196.58/80,861.40
  6. Step 6: Final answer
    x = 46,446.51

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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.