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Finding the Fourth Proportional to 204,691.28, 307,078.32 and 86,362.88

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Solution

The fourth proportional to 204,691.28, 307,078.32 and 86,362.88 is: 129,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,691.28 : 307,078.32 = 86,362.88 : x
  2. Step 2: Convert to fraction form
    204,691.28/307,078.32 = 86,362.88/x
  3. Step 3: Cross multiply
    204,691.28x = 307,078.32 × 86,362.88
  4. Step 4: Simplify right side
    204,691.28x = 26,520,168,100.76
  5. Step 5: Solve for x
    x = 26,520,168,100.76/204,691.28
  6. Step 6: Final answer
    x = 129,561.79

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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.