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Finding the Fourth Proportional to 206,468.60, 309,314.10 and 106,287.80

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Solution

The fourth proportional to 206,468.60, 309,314.10 and 106,287.80 is: 159,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.60 : 309,314.10 = 106,287.80 : x
  2. Step 2: Convert to fraction form
    206,468.60/309,314.10 = 106,287.80/x
  3. Step 3: Cross multiply
    206,468.60x = 309,314.10 × 106,287.80
  4. Step 4: Simplify right side
    206,468.60x = 32,876,315,197.98
  5. Step 5: Solve for x
    x = 32,876,315,197.98/206,468.60
  6. Step 6: Final answer
    x = 159,231.55

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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.