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Finding the Fourth Proportional to 199,689.39, 275,561.09 and 109,027.88

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Solution

The fourth proportional to 199,689.39, 275,561.09 and 109,027.88 is: 150,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,689.39 : 275,561.09 = 109,027.88 : x
  2. Step 2: Convert to fraction form
    199,689.39/275,561.09 = 109,027.88/x
  3. Step 3: Cross multiply
    199,689.39x = 275,561.09 × 109,027.88
  4. Step 4: Simplify right side
    199,689.39x = 30,043,840,908.05
  5. Step 5: Solve for x
    x = 30,043,840,908.05/199,689.39
  6. Step 6: Final answer
    x = 150,452.87

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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.