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Finding the Fourth Proportional to 80,287.20, 120,382.20 and 35,905.68

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Solution

The fourth proportional to 80,287.20, 120,382.20 and 35,905.68 is: 53,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,287.20 : 120,382.20 = 35,905.68 : x
  2. Step 2: Convert to fraction form
    80,287.20/120,382.20 = 35,905.68/x
  3. Step 3: Cross multiply
    80,287.20x = 120,382.20 × 35,905.68
  4. Step 4: Simplify right side
    80,287.20x = 4,322,404,750.90
  5. Step 5: Solve for x
    x = 4,322,404,750.90/80,287.20
  6. Step 6: Final answer
    x = 53,836.79

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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.