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Finding the Fourth Proportional to 199,558.49, 275,380.97 and 108,912.20

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Solution

The fourth proportional to 199,558.49, 275,380.97 and 108,912.20 is: 150,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558.49 : 275,380.97 = 108,912.20 : x
  2. Step 2: Convert to fraction form
    199,558.49/275,380.97 = 108,912.20/x
  3. Step 3: Cross multiply
    199,558.49x = 275,380.97 × 108,912.20
  4. Step 4: Simplify right side
    199,558.49x = 29,992,345,359.37
  5. Step 5: Solve for x
    x = 29,992,345,359.37/199,558.49
  6. Step 6: Final answer
    x = 150,293.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.