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Finding the Fourth Proportional to 206,460.60, 309,614.10 and 81,775.80

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Solution

The fourth proportional to 206,460.60, 309,614.10 and 81,775.80 is: 122,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,460.60 : 309,614.10 = 81,775.80 : x
  2. Step 2: Convert to fraction form
    206,460.60/309,614.10 = 81,775.80/x
  3. Step 3: Cross multiply
    206,460.60x = 309,614.10 × 81,775.80
  4. Step 4: Simplify right side
    206,460.60x = 25,318,940,718.78
  5. Step 5: Solve for x
    x = 25,318,940,718.78/206,460.60
  6. Step 6: Final answer
    x = 122,633.28

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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.