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Finding the Fourth Proportional to 198,838, 274,396.44 and 109,414

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Solution

The fourth proportional to 198,838, 274,396.44 and 109,414 is: 150,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,838 : 274,396.44 = 109,414 : x
  2. Step 2: Convert to fraction form
    198,838/274,396.44 = 109,414/x
  3. Step 3: Cross multiply
    198,838x = 274,396.44 × 109,414
  4. Step 4: Simplify right side
    198,838x = 30,022,812,086.16
  5. Step 5: Solve for x
    x = 30,022,812,086.16/198,838
  6. Step 6: Final answer
    x = 150,991.32

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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.