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Finding the Fourth Proportional to 206,422.60, 309,633.90 and 66,195.40

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Solution

The fourth proportional to 206,422.60, 309,633.90 and 66,195.40 is: 99,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.60 : 309,633.90 = 66,195.40 : x
  2. Step 2: Convert to fraction form
    206,422.60/309,633.90 = 66,195.40/x
  3. Step 3: Cross multiply
    206,422.60x = 309,633.90 × 66,195.40
  4. Step 4: Simplify right side
    206,422.60x = 20,496,339,864.06
  5. Step 5: Solve for x
    x = 20,496,339,864.06/206,422.60
  6. Step 6: Final answer
    x = 99,293.10

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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.