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Finding the Fourth Proportional to 185,959.47, 278,942.28 and 80,778.44

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Solution

The fourth proportional to 185,959.47, 278,942.28 and 80,778.44 is: 121,169.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,959.47 : 278,942.28 = 80,778.44 : x
  2. Step 2: Convert to fraction form
    185,959.47/278,942.28 = 80,778.44/x
  3. Step 3: Cross multiply
    185,959.47x = 278,942.28 × 80,778.44
  4. Step 4: Simplify right side
    185,959.47x = 22,532,522,292.73
  5. Step 5: Solve for x
    x = 22,532,522,292.73/185,959.47
  6. Step 6: Final answer
    x = 121,169.00

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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.