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Finding the Fourth Proportional to 206,627.30, 309,820.52 and 80,119.74

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Solution

The fourth proportional to 206,627.30, 309,820.52 and 80,119.74 is: 120,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,627.30 : 309,820.52 = 80,119.74 : x
  2. Step 2: Convert to fraction form
    206,627.30/309,820.52 = 80,119.74/x
  3. Step 3: Cross multiply
    206,627.30x = 309,820.52 × 80,119.74
  4. Step 4: Simplify right side
    206,627.30x = 24,822,739,509.06
  5. Step 5: Solve for x
    x = 24,822,739,509.06/206,627.30
  6. Step 6: Final answer
    x = 120,132.91

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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.