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Finding the Fourth Proportional to 206,793.64, 285,302.55 and 135,215.56

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Solution

The fourth proportional to 206,793.64, 285,302.55 and 135,215.56 is: 186,549.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793.64 : 285,302.55 = 135,215.56 : x
  2. Step 2: Convert to fraction form
    206,793.64/285,302.55 = 135,215.56/x
  3. Step 3: Cross multiply
    206,793.64x = 285,302.55 × 135,215.56
  4. Step 4: Simplify right side
    206,793.64x = 38,577,344,067.68
  5. Step 5: Solve for x
    x = 38,577,344,067.68/206,793.64
  6. Step 6: Final answer
    x = 186,549.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.