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Finding the Fourth Proportional to 185,646.78, 278,425.57 and 85,711

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Solution

The fourth proportional to 185,646.78, 278,425.57 and 85,711 is: 128,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,646.78 : 278,425.57 = 85,711 : x
  2. Step 2: Convert to fraction form
    185,646.78/278,425.57 = 85,711/x
  3. Step 3: Cross multiply
    185,646.78x = 278,425.57 × 85,711
  4. Step 4: Simplify right side
    185,646.78x = 23,864,134,030.27
  5. Step 5: Solve for x
    x = 23,864,134,030.27/185,646.78
  6. Step 6: Final answer
    x = 128,545.91

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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.