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Finding the Fourth Proportional to 198,467, 273,888.78 and 109,043

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Solution

The fourth proportional to 198,467, 273,888.78 and 109,043 is: 150,481.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,467 : 273,888.78 = 109,043 : x
  2. Step 2: Convert to fraction form
    198,467/273,888.78 = 109,043/x
  3. Step 3: Cross multiply
    198,467x = 273,888.78 × 109,043
  4. Step 4: Simplify right side
    198,467x = 29,865,654,237.54
  5. Step 5: Solve for x
    x = 29,865,654,237.54/198,467
  6. Step 6: Final answer
    x = 150,481.71

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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.