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Finding the Fourth Proportional to 206,961.20, 309,785.70 and 147,912.20

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Solution

The fourth proportional to 206,961.20, 309,785.70 and 147,912.20 is: 221,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,961.20 : 309,785.70 = 147,912.20 : x
  2. Step 2: Convert to fraction form
    206,961.20/309,785.70 = 147,912.20/x
  3. Step 3: Cross multiply
    206,961.20x = 309,785.70 × 147,912.20
  4. Step 4: Simplify right side
    206,961.20x = 45,821,084,415.54
  5. Step 5: Solve for x
    x = 45,821,084,415.54/206,961.20
  6. Step 6: Final answer
    x = 221,399.39

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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.