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Finding the Fourth Proportional to 206,611.92, 309,906.90 and 66,359.58

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Solution

The fourth proportional to 206,611.92, 309,906.90 and 66,359.58 is: 99,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,611.92 : 309,906.90 = 66,359.58 : x
  2. Step 2: Convert to fraction form
    206,611.92/309,906.90 = 66,359.58/x
  3. Step 3: Cross multiply
    206,611.92x = 309,906.90 × 66,359.58
  4. Step 4: Simplify right side
    206,611.92x = 20,565,291,723.10
  5. Step 5: Solve for x
    x = 20,565,291,723.10/206,611.92
  6. Step 6: Final answer
    x = 99,535.84

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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.