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Finding the Fourth Proportional to 206,335.56, 309,503.43 and 136,198.47

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Solution

The fourth proportional to 206,335.56, 309,503.43 and 136,198.47 is: 204,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,335.56 : 309,503.43 = 136,198.47 : x
  2. Step 2: Convert to fraction form
    206,335.56/309,503.43 = 136,198.47/x
  3. Step 3: Cross multiply
    206,335.56x = 309,503.43 × 136,198.47
  4. Step 4: Simplify right side
    206,335.56x = 42,153,893,625.75
  5. Step 5: Solve for x
    x = 42,153,893,625.75/206,335.56
  6. Step 6: Final answer
    x = 204,297.76

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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.