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Finding the Fourth Proportional to 206,388.44, 309,582.68 and 136,251.36

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Solution

The fourth proportional to 206,388.44, 309,582.68 and 136,251.36 is: 204,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,388.44 : 309,582.68 = 136,251.36 : x
  2. Step 2: Convert to fraction form
    206,388.44/309,582.68 = 136,251.36/x
  3. Step 3: Cross multiply
    206,388.44x = 309,582.68 × 136,251.36
  4. Step 4: Simplify right side
    206,388.44x = 42,181,061,182.44
  5. Step 5: Solve for x
    x = 42,181,061,182.44/206,388.44
  6. Step 6: Final answer
    x = 204,377.05

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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.