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Finding the Fourth Proportional to 80,969.92, 121,469.17 and 27,649.40

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Solution

The fourth proportional to 80,969.92, 121,469.17 and 27,649.40 is: 41,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.92 : 121,469.17 = 27,649.40 : x
  2. Step 2: Convert to fraction form
    80,969.92/121,469.17 = 27,649.40/x
  3. Step 3: Cross multiply
    80,969.92x = 121,469.17 × 27,649.40
  4. Step 4: Simplify right side
    80,969.92x = 3,358,549,581.17
  5. Step 5: Solve for x
    x = 3,358,549,581.17/80,969.92
  6. Step 6: Final answer
    x = 41,478.98

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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.