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Finding the Fourth Proportional to 80,843.76, 121,284.72 and 25,439.76

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Solution

The fourth proportional to 80,843.76, 121,284.72 and 25,439.76 is: 38,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,843.76 : 121,284.72 = 25,439.76 : x
  2. Step 2: Convert to fraction form
    80,843.76/121,284.72 = 25,439.76/x
  3. Step 3: Cross multiply
    80,843.76x = 121,284.72 × 25,439.76
  4. Step 4: Simplify right side
    80,843.76x = 3,085,454,168.47
  5. Step 5: Solve for x
    x = 3,085,454,168.47/80,843.76
  6. Step 6: Final answer
    x = 38,165.64

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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.