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Finding the Fourth Proportional to 206,586.64, 309,850.80 and 66,327.04

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Solution

The fourth proportional to 206,586.64, 309,850.80 and 66,327.04 is: 99,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586.64 : 309,850.80 = 66,327.04 : x
  2. Step 2: Convert to fraction form
    206,586.64/309,850.80 = 66,327.04/x
  3. Step 3: Cross multiply
    206,586.64x = 309,850.80 × 66,327.04
  4. Step 4: Simplify right side
    206,586.64x = 20,551,486,405.63
  5. Step 5: Solve for x
    x = 20,551,486,405.63/206,586.64
  6. Step 6: Final answer
    x = 99,481.20

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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.