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Finding the Fourth Proportional to 198,608.86, 274,081.51 and 107,965.61

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Solution

The fourth proportional to 198,608.86, 274,081.51 and 107,965.61 is: 148,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608.86 : 274,081.51 = 107,965.61 : x
  2. Step 2: Convert to fraction form
    198,608.86/274,081.51 = 107,965.61/x
  3. Step 3: Cross multiply
    198,608.86x = 274,081.51 × 107,965.61
  4. Step 4: Simplify right side
    198,608.86x = 29,591,376,181.42
  5. Step 5: Solve for x
    x = 29,591,376,181.42/198,608.86
  6. Step 6: Final answer
    x = 148,993.24

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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.