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Finding the Fourth Proportional to 80,819.20, 121,207.20 and 28,223.20

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Solution

The fourth proportional to 80,819.20, 121,207.20 and 28,223.20 is: 42,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,819.20 : 121,207.20 = 28,223.20 : x
  2. Step 2: Convert to fraction form
    80,819.20/121,207.20 = 28,223.20/x
  3. Step 3: Cross multiply
    80,819.20x = 121,207.20 × 28,223.20
  4. Step 4: Simplify right side
    80,819.20x = 3,420,855,047.04
  5. Step 5: Solve for x
    x = 3,420,855,047.04/80,819.20
  6. Step 6: Final answer
    x = 42,327.26

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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.