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Finding the Fourth Proportional to 198,878.80, 274,452.72 and 109,454.80

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Solution

The fourth proportional to 198,878.80, 274,452.72 and 109,454.80 is: 151,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,878.80 : 274,452.72 = 109,454.80 : x
  2. Step 2: Convert to fraction form
    198,878.80/274,452.72 = 109,454.80/x
  3. Step 3: Cross multiply
    198,878.80x = 274,452.72 × 109,454.80
  4. Step 4: Simplify right side
    198,878.80x = 30,040,167,577.06
  5. Step 5: Solve for x
    x = 30,040,167,577.06/198,878.80
  6. Step 6: Final answer
    x = 151,047.61

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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.