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Finding the Fourth Proportional to 206,614.14, 309,910.28 and 66,361.83

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Solution

The fourth proportional to 206,614.14, 309,910.28 and 66,361.83 is: 99,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,614.14 : 309,910.28 = 66,361.83 : x
  2. Step 2: Convert to fraction form
    206,614.14/309,910.28 = 66,361.83/x
  3. Step 3: Cross multiply
    206,614.14x = 309,910.28 × 66,361.83
  4. Step 4: Simplify right side
    206,614.14x = 20,566,212,984.80
  5. Step 5: Solve for x
    x = 20,566,212,984.80/206,614.14
  6. Step 6: Final answer
    x = 99,539.23

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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.