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Finding the Fourth Proportional to 206,170.78, 309,264.33 and 98,074.18

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Solution

The fourth proportional to 206,170.78, 309,264.33 and 98,074.18 is: 147,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170.78 : 309,264.33 = 98,074.18 : x
  2. Step 2: Convert to fraction form
    206,170.78/309,264.33 = 98,074.18/x
  3. Step 3: Cross multiply
    206,170.78x = 309,264.33 × 98,074.18
  4. Step 4: Simplify right side
    206,170.78x = 30,330,844,021.68
  5. Step 5: Solve for x
    x = 30,330,844,021.68/206,170.78
  6. Step 6: Final answer
    x = 147,115.15

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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.