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Finding the Fourth Proportional to 206,821.30, 309,903.90 and 136,618.60

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Solution

The fourth proportional to 206,821.30, 309,903.90 and 136,618.60 is: 204,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821.30 : 309,903.90 = 136,618.60 : x
  2. Step 2: Convert to fraction form
    206,821.30/309,903.90 = 136,618.60/x
  3. Step 3: Cross multiply
    206,821.30x = 309,903.90 × 136,618.60
  4. Step 4: Simplify right side
    206,821.30x = 42,338,636,952.54
  5. Step 5: Solve for x
    x = 42,338,636,952.54/206,821.30
  6. Step 6: Final answer
    x = 204,711.20

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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.