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Finding the Fourth Proportional to 198,874, 274,450.44 and 109,450

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Solution

The fourth proportional to 198,874, 274,450.44 and 109,450 is: 151,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,874 : 274,450.44 = 109,450 : x
  2. Step 2: Convert to fraction form
    198,874/274,450.44 = 109,450/x
  3. Step 3: Cross multiply
    198,874x = 274,450.44 × 109,450
  4. Step 4: Simplify right side
    198,874x = 30,038,600,658
  5. Step 5: Solve for x
    x = 30,038,600,658/198,874
  6. Step 6: Final answer
    x = 151,043.38

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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.