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Finding the Fourth Proportional to 188,906.40, 283,359.60 and 132,809.85

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Solution

The fourth proportional to 188,906.40, 283,359.60 and 132,809.85 is: 199,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,906.40 : 283,359.60 = 132,809.85 : x
  2. Step 2: Convert to fraction form
    188,906.40/283,359.60 = 132,809.85/x
  3. Step 3: Cross multiply
    188,906.40x = 283,359.60 × 132,809.85
  4. Step 4: Simplify right side
    188,906.40x = 37,632,945,972.06
  5. Step 5: Solve for x
    x = 37,632,945,972.06/188,906.40
  6. Step 6: Final answer
    x = 199,214.78

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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.