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Finding the Fourth Proportional to 206,735.49, 309,906.39 and 66,395.70

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Solution

The fourth proportional to 206,735.49, 309,906.39 and 66,395.70 is: 99,530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,735.49 : 309,906.39 = 66,395.70 : x
  2. Step 2: Convert to fraction form
    206,735.49/309,906.39 = 66,395.70/x
  3. Step 3: Cross multiply
    206,735.49x = 309,906.39 × 66,395.70
  4. Step 4: Simplify right side
    206,735.49x = 20,576,451,698.52
  5. Step 5: Solve for x
    x = 20,576,451,698.52/206,735.49
  6. Step 6: Final answer
    x = 99,530.33

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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.