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Finding the Fourth Proportional to 204,787.38, 307,171.50 and 71,697.48

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Solution

The fourth proportional to 204,787.38, 307,171.50 and 71,697.48 is: 107,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,787.38 : 307,171.50 = 71,697.48 : x
  2. Step 2: Convert to fraction form
    204,787.38/307,171.50 = 71,697.48/x
  3. Step 3: Cross multiply
    204,787.38x = 307,171.50 × 71,697.48
  4. Step 4: Simplify right side
    204,787.38x = 22,023,422,477.82
  5. Step 5: Solve for x
    x = 22,023,422,477.82/204,787.38
  6. Step 6: Final answer
    x = 107,542.87

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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.