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Finding the Fourth Proportional to 198,832, 274,388.16 and 109,408

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Solution

The fourth proportional to 198,832, 274,388.16 and 109,408 is: 150,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,832 : 274,388.16 = 109,408 : x
  2. Step 2: Convert to fraction form
    198,832/274,388.16 = 109,408/x
  3. Step 3: Cross multiply
    198,832x = 274,388.16 × 109,408
  4. Step 4: Simplify right side
    198,832x = 30,020,259,809.28
  5. Step 5: Solve for x
    x = 30,020,259,809.28/198,832
  6. Step 6: Final answer
    x = 150,983.04

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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.