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Finding the Fourth Proportional to 206,978.70, 309,849.21 and 126,764.07

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Solution

The fourth proportional to 206,978.70, 309,849.21 and 126,764.07 is: 189,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,978.70 : 309,849.21 = 126,764.07 : x
  2. Step 2: Convert to fraction form
    206,978.70/309,849.21 = 126,764.07/x
  3. Step 3: Cross multiply
    206,978.70x = 309,849.21 × 126,764.07
  4. Step 4: Simplify right side
    206,978.70x = 39,277,746,945.88
  5. Step 5: Solve for x
    x = 39,277,746,945.88/206,978.70
  6. Step 6: Final answer
    x = 189,767.10

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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.