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Finding the Fourth Proportional to 198,712.82, 274,084.89 and 134,939.90

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Solution

The fourth proportional to 198,712.82, 274,084.89 and 134,939.90 is: 186,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,712.82 : 274,084.89 = 134,939.90 : x
  2. Step 2: Convert to fraction form
    198,712.82/274,084.89 = 134,939.90/x
  3. Step 3: Cross multiply
    198,712.82x = 274,084.89 × 134,939.90
  4. Step 4: Simplify right side
    198,712.82x = 36,984,987,648.11
  5. Step 5: Solve for x
    x = 36,984,987,648.11/198,712.82
  6. Step 6: Final answer
    x = 186,122.81

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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.