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Finding the Fourth Proportional to 138,043.43, 206,933.92 and 87,983

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Solution

The fourth proportional to 138,043.43, 206,933.92 and 87,983 is: 131,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,043.43 : 206,933.92 = 87,983 : x
  2. Step 2: Convert to fraction form
    138,043.43/206,933.92 = 87,983/x
  3. Step 3: Cross multiply
    138,043.43x = 206,933.92 × 87,983
  4. Step 4: Simplify right side
    138,043.43x = 18,206,667,083.36
  5. Step 5: Solve for x
    x = 18,206,667,083.36/138,043.43
  6. Step 6: Final answer
    x = 131,890.86

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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.