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Finding the Fourth Proportional to 80,815.20, 121,201.20 and 28,219.20

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Solution

The fourth proportional to 80,815.20, 121,201.20 and 28,219.20 is: 42,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,815.20 : 121,201.20 = 28,219.20 : x
  2. Step 2: Convert to fraction form
    80,815.20/121,201.20 = 28,219.20/x
  3. Step 3: Cross multiply
    80,815.20x = 121,201.20 × 28,219.20
  4. Step 4: Simplify right side
    80,815.20x = 3,420,200,903.04
  5. Step 5: Solve for x
    x = 3,420,200,903.04/80,815.20
  6. Step 6: Final answer
    x = 42,321.26

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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.