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Finding the Fourth Proportional to 206,642.43, 309,667.64 and 117,712.31

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Solution

The fourth proportional to 206,642.43, 309,667.64 and 117,712.31 is: 176,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,642.43 : 309,667.64 = 117,712.31 : x
  2. Step 2: Convert to fraction form
    206,642.43/309,667.64 = 117,712.31/x
  3. Step 3: Cross multiply
    206,642.43x = 309,667.64 × 117,712.31
  4. Step 4: Simplify right side
    206,642.43x = 36,451,691,099.75
  5. Step 5: Solve for x
    x = 36,451,691,099.75/206,642.43
  6. Step 6: Final answer
    x = 176,399.84

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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.