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Finding the Fourth Proportional to 206,613.64, 309,909.52 and 66,361.33

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Solution

The fourth proportional to 206,613.64, 309,909.52 and 66,361.33 is: 99,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,613.64 : 309,909.52 = 66,361.33 : x
  2. Step 2: Convert to fraction form
    206,613.64/309,909.52 = 66,361.33/x
  3. Step 3: Cross multiply
    206,613.64x = 309,909.52 × 66,361.33
  4. Step 4: Simplify right side
    206,613.64x = 20,566,007,926.86
  5. Step 5: Solve for x
    x = 20,566,007,926.86/206,613.64
  6. Step 6: Final answer
    x = 99,538.48

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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.