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Finding the Fourth Proportional to 198,694.62, 274,197.33 and 112,669.92

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Solution

The fourth proportional to 198,694.62, 274,197.33 and 112,669.92 is: 155,483.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,694.62 : 274,197.33 = 112,669.92 : x
  2. Step 2: Convert to fraction form
    198,694.62/274,197.33 = 112,669.92/x
  3. Step 3: Cross multiply
    198,694.62x = 274,197.33 × 112,669.92
  4. Step 4: Simplify right side
    198,694.62x = 30,893,791,235.31
  5. Step 5: Solve for x
    x = 30,893,791,235.31/198,694.62
  6. Step 6: Final answer
    x = 155,483.78

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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.