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Finding the Fourth Proportional to 206,439.40, 309,659.10 and 113,127.40

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Solution

The fourth proportional to 206,439.40, 309,659.10 and 113,127.40 is: 169,691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,439.40 : 309,659.10 = 113,127.40 : x
  2. Step 2: Convert to fraction form
    206,439.40/309,659.10 = 113,127.40/x
  3. Step 3: Cross multiply
    206,439.40x = 309,659.10 × 113,127.40
  4. Step 4: Simplify right side
    206,439.40x = 35,030,928,869.34
  5. Step 5: Solve for x
    x = 35,030,928,869.34/206,439.40
  6. Step 6: Final answer
    x = 169,691.10

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1.5x scale

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.