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Finding the Fourth Proportional to 198,707.82, 274,077.99 and 134,934.90

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Solution

The fourth proportional to 198,707.82, 274,077.99 and 134,934.90 is: 186,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,707.82 : 274,077.99 = 134,934.90 : x
  2. Step 2: Convert to fraction form
    198,707.82/274,077.99 = 134,934.90/x
  3. Step 3: Cross multiply
    198,707.82x = 274,077.99 × 134,934.90
  4. Step 4: Simplify right side
    198,707.82x = 36,982,686,172.85
  5. Step 5: Solve for x
    x = 36,982,686,172.85/198,707.82
  6. Step 6: Final answer
    x = 186,115.91

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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.