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Finding the Fourth Proportional to 206,191.92, 309,200.40 and 73,105.68

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Solution

The fourth proportional to 206,191.92, 309,200.40 and 73,105.68 is: 109,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191.92 : 309,200.40 = 73,105.68 : x
  2. Step 2: Convert to fraction form
    206,191.92/309,200.40 = 73,105.68/x
  3. Step 3: Cross multiply
    206,191.92x = 309,200.40 × 73,105.68
  4. Step 4: Simplify right side
    206,191.92x = 22,604,305,498.27
  5. Step 5: Solve for x
    x = 22,604,305,498.27/206,191.92
  6. Step 6: Final answer
    x = 109,627.50

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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.