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Finding the Fourth Proportional to 206,194.91, 309,195.30 and 79,894.31

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Solution

The fourth proportional to 206,194.91, 309,195.30 and 79,894.31 is: 119,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,194.91 : 309,195.30 = 79,894.31 : x
  2. Step 2: Convert to fraction form
    206,194.91/309,195.30 = 79,894.31/x
  3. Step 3: Cross multiply
    206,194.91x = 309,195.30 × 79,894.31
  4. Step 4: Simplify right side
    206,194.91x = 24,702,945,148.74
  5. Step 5: Solve for x
    x = 24,702,945,148.74/206,194.91
  6. Step 6: Final answer
    x = 119,803.86

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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.