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Finding the Fourth Proportional to 206,117.69, 309,126.75 and 86,109.78

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Solution

The fourth proportional to 206,117.69, 309,126.75 and 86,109.78 is: 129,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,117.69 : 309,126.75 = 86,109.78 : x
  2. Step 2: Convert to fraction form
    206,117.69/309,126.75 = 86,109.78/x
  3. Step 3: Cross multiply
    206,117.69x = 309,126.75 × 86,109.78
  4. Step 4: Simplify right side
    206,117.69x = 26,618,837,997.48
  5. Step 5: Solve for x
    x = 26,618,837,997.48/206,117.69
  6. Step 6: Final answer
    x = 129,143.88

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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.