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Finding the Fourth Proportional to 198,868, 274,438.38 and 109,444

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Solution

The fourth proportional to 198,868, 274,438.38 and 109,444 is: 151,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,868 : 274,438.38 = 109,444 : x
  2. Step 2: Convert to fraction form
    198,868/274,438.38 = 109,444/x
  3. Step 3: Cross multiply
    198,868x = 274,438.38 × 109,444
  4. Step 4: Simplify right side
    198,868x = 30,035,634,060.72
  5. Step 5: Solve for x
    x = 30,035,634,060.72/198,868
  6. Step 6: Final answer
    x = 151,033.02

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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.