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Finding the Fourth Proportional to 198,816, 274,371.84 and 109,392

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Solution

The fourth proportional to 198,816, 274,371.84 and 109,392 is: 150,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,816 : 274,371.84 = 109,392 : x
  2. Step 2: Convert to fraction form
    198,816/274,371.84 = 109,392/x
  3. Step 3: Cross multiply
    198,816x = 274,371.84 × 109,392
  4. Step 4: Simplify right side
    198,816x = 30,014,084,321.28
  5. Step 5: Solve for x
    x = 30,014,084,321.28/198,816
  6. Step 6: Final answer
    x = 150,964.13

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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.