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Finding the Fourth Proportional to 206,822.80, 309,906.15 and 136,620.10

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Solution

The fourth proportional to 206,822.80, 309,906.15 and 136,620.10 is: 204,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,822.80 : 309,906.15 = 136,620.10 : x
  2. Step 2: Convert to fraction form
    206,822.80/309,906.15 = 136,620.10/x
  3. Step 3: Cross multiply
    206,822.80x = 309,906.15 × 136,620.10
  4. Step 4: Simplify right side
    206,822.80x = 42,339,409,203.62
  5. Step 5: Solve for x
    x = 42,339,409,203.62/206,822.80
  6. Step 6: Final answer
    x = 204,713.45

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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.