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Finding the Fourth Proportional to 206,081.92, 309,123.12 and 65,851.36

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Solution

The fourth proportional to 206,081.92, 309,123.12 and 65,851.36 is: 98,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,081.92 : 309,123.12 = 65,851.36 : x
  2. Step 2: Convert to fraction form
    206,081.92/309,123.12 = 65,851.36/x
  3. Step 3: Cross multiply
    206,081.92x = 309,123.12 × 65,851.36
  4. Step 4: Simplify right side
    206,081.92x = 20,356,177,859.44
  5. Step 5: Solve for x
    x = 20,356,177,859.44/206,081.92
  6. Step 6: Final answer
    x = 98,777.12

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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.