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Finding the Fourth Proportional to 206,744.87, 309,930.06 and 143,594.81

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Solution

The fourth proportional to 206,744.87, 309,930.06 and 143,594.81 is: 215,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,744.87 : 309,930.06 = 143,594.81 : x
  2. Step 2: Convert to fraction form
    206,744.87/309,930.06 = 143,594.81/x
  3. Step 3: Cross multiply
    206,744.87x = 309,930.06 × 143,594.81
  4. Step 4: Simplify right side
    206,744.87x = 44,504,348,230.06
  5. Step 5: Solve for x
    x = 44,504,348,230.06/206,744.87
  6. Step 6: Final answer
    x = 215,262.16

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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.