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Finding the Fourth Proportional to 206,642.21, 309,667.56 and 117,711.97

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Solution

The fourth proportional to 206,642.21, 309,667.56 and 117,711.97 is: 176,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.21 : 309,667.56 = 117,711.97 : x
  2. Step 2: Convert to fraction form
    206,642.21/309,667.56 = 117,711.97/x
  3. Step 3: Cross multiply
    206,642.21x = 309,667.56 × 117,711.97
  4. Step 4: Simplify right side
    206,642.21x = 36,451,577,317.10
  5. Step 5: Solve for x
    x = 36,451,577,317.10/206,642.21
  6. Step 6: Final answer
    x = 176,399.48

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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.