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Finding the Fourth Proportional to 199,805.68, 275,727.18 and 109,162

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Solution

The fourth proportional to 199,805.68, 275,727.18 and 109,162 is: 150,641.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,805.68 : 275,727.18 = 109,162 : x
  2. Step 2: Convert to fraction form
    199,805.68/275,727.18 = 109,162/x
  3. Step 3: Cross multiply
    199,805.68x = 275,727.18 × 109,162
  4. Step 4: Simplify right side
    199,805.68x = 30,098,930,423.16
  5. Step 5: Solve for x
    x = 30,098,930,423.16/199,805.68
  6. Step 6: Final answer
    x = 150,641.01

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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.