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Finding the Fourth Proportional to 206,097.60, 309,167.28 and 71,144.08

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Solution

The fourth proportional to 206,097.60, 309,167.28 and 71,144.08 is: 106,723.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,097.60 : 309,167.28 = 71,144.08 : x
  2. Step 2: Convert to fraction form
    206,097.60/309,167.28 = 71,144.08/x
  3. Step 3: Cross multiply
    206,097.60x = 309,167.28 × 71,144.08
  4. Step 4: Simplify right side
    206,097.60x = 21,995,421,701.70
  5. Step 5: Solve for x
    x = 21,995,421,701.70/206,097.60
  6. Step 6: Final answer
    x = 106,723.33

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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.