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Finding the Fourth Proportional to 198,608.64, 274,081.21 and 107,965.39

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Solution

The fourth proportional to 198,608.64, 274,081.21 and 107,965.39 is: 148,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608.64 : 274,081.21 = 107,965.39 : x
  2. Step 2: Convert to fraction form
    198,608.64/274,081.21 = 107,965.39/x
  3. Step 3: Cross multiply
    198,608.64x = 274,081.21 × 107,965.39
  4. Step 4: Simplify right side
    198,608.64x = 29,591,284,044.12
  5. Step 5: Solve for x
    x = 29,591,284,044.12/198,608.64
  6. Step 6: Final answer
    x = 148,992.93

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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.