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Finding the Fourth Proportional to 198,293, 273,648.66 and 108,869

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Solution

The fourth proportional to 198,293, 273,648.66 and 108,869 is: 150,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,293 : 273,648.66 = 108,869 : x
  2. Step 2: Convert to fraction form
    198,293/273,648.66 = 108,869/x
  3. Step 3: Cross multiply
    198,293x = 273,648.66 × 108,869
  4. Step 4: Simplify right side
    198,293x = 29,791,855,965.54
  5. Step 5: Solve for x
    x = 29,791,855,965.54/198,293
  6. Step 6: Final answer
    x = 150,241.59

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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.