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Finding the Fourth Proportional to 80,433.28, 120,649.84 and 55,107.84

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Solution

The fourth proportional to 80,433.28, 120,649.84 and 55,107.84 is: 82,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433.28 : 120,649.84 = 55,107.84 : x
  2. Step 2: Convert to fraction form
    80,433.28/120,649.84 = 55,107.84/x
  3. Step 3: Cross multiply
    80,433.28x = 120,649.84 × 55,107.84
  4. Step 4: Simplify right side
    80,433.28x = 6,648,752,078.75
  5. Step 5: Solve for x
    x = 6,648,752,078.75/80,433.28
  6. Step 6: Final answer
    x = 82,661.71

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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.