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Finding the Fourth Proportional to 206,638.96, 309,958.44 and 81,979.96

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Solution

The fourth proportional to 206,638.96, 309,958.44 and 81,979.96 is: 122,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,638.96 : 309,958.44 = 81,979.96 : x
  2. Step 2: Convert to fraction form
    206,638.96/309,958.44 = 81,979.96/x
  3. Step 3: Cross multiply
    206,638.96x = 309,958.44 × 81,979.96
  4. Step 4: Simplify right side
    206,638.96x = 25,410,380,512.86
  5. Step 5: Solve for x
    x = 25,410,380,512.86/206,638.96
  6. Step 6: Final answer
    x = 122,969.94

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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.