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Finding the Fourth Proportional to 206,627.30, 309,820.51 and 80,119.75

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Solution

The fourth proportional to 206,627.30, 309,820.51 and 80,119.75 is: 120,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,627.30 : 309,820.51 = 80,119.75 : x
  2. Step 2: Convert to fraction form
    206,627.30/309,820.51 = 80,119.75/x
  3. Step 3: Cross multiply
    206,627.30x = 309,820.51 × 80,119.75
  4. Step 4: Simplify right side
    206,627.30x = 24,822,741,806.07
  5. Step 5: Solve for x
    x = 24,822,741,806.07/206,627.30
  6. Step 6: Final answer
    x = 120,132.92

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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.