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Finding the Fourth Proportional to 206,621.80, 309,414.30 and 136,119.40

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Solution

The fourth proportional to 206,621.80, 309,414.30 and 136,119.40 is: 203,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,621.80 : 309,414.30 = 136,119.40 : x
  2. Step 2: Convert to fraction form
    206,621.80/309,414.30 = 136,119.40/x
  3. Step 3: Cross multiply
    206,621.80x = 309,414.30 × 136,119.40
  4. Step 4: Simplify right side
    206,621.80x = 42,117,288,867.42
  5. Step 5: Solve for x
    x = 42,117,288,867.42/206,621.80
  6. Step 6: Final answer
    x = 203,837.59

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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.