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Finding the Fourth Proportional to 198,843.54, 274,415.90 and 113,966.07

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Solution

The fourth proportional to 198,843.54, 274,415.90 and 113,966.07 is: 157,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,843.54 : 274,415.90 = 113,966.07 : x
  2. Step 2: Convert to fraction form
    198,843.54/274,415.90 = 113,966.07/x
  3. Step 3: Cross multiply
    198,843.54x = 274,415.90 × 113,966.07
  4. Step 4: Simplify right side
    198,843.54x = 31,274,101,098.68
  5. Step 5: Solve for x
    x = 31,274,101,098.68/198,843.54
  6. Step 6: Final answer
    x = 157,279.95

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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.