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Finding the Fourth Proportional to 185,248.80, 278,002.80 and 80,143.20

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Solution

The fourth proportional to 185,248.80, 278,002.80 and 80,143.20 is: 120,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,248.80 : 278,002.80 = 80,143.20 : x
  2. Step 2: Convert to fraction form
    185,248.80/278,002.80 = 80,143.20/x
  3. Step 3: Cross multiply
    185,248.80x = 278,002.80 × 80,143.20
  4. Step 4: Simplify right side
    185,248.80x = 22,280,034,000.96
  5. Step 5: Solve for x
    x = 22,280,034,000.96/185,248.80
  6. Step 6: Final answer
    x = 120,270.87

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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.