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Finding the Fourth Proportional to 206,170.87, 309,264.47 and 98,074.27

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Solution

The fourth proportional to 206,170.87, 309,264.47 and 98,074.27 is: 147,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170.87 : 309,264.47 = 98,074.27 : x
  2. Step 2: Convert to fraction form
    206,170.87/309,264.47 = 98,074.27/x
  3. Step 3: Cross multiply
    206,170.87x = 309,264.47 × 98,074.27
  4. Step 4: Simplify right side
    206,170.87x = 30,330,887,377.37
  5. Step 5: Solve for x
    x = 30,330,887,377.37/206,170.87
  6. Step 6: Final answer
    x = 147,115.29

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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.