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Finding the Fourth Proportional to 80,753.64, 121,146.66 and 28,149

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Solution

The fourth proportional to 80,753.64, 121,146.66 and 28,149 is: 42,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,753.64 : 121,146.66 = 28,149 : x
  2. Step 2: Convert to fraction form
    80,753.64/121,146.66 = 28,149/x
  3. Step 3: Cross multiply
    80,753.64x = 121,146.66 × 28,149
  4. Step 4: Simplify right side
    80,753.64x = 3,410,157,332.34
  5. Step 5: Solve for x
    x = 3,410,157,332.34/80,753.64
  6. Step 6: Final answer
    x = 42,229.15

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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.