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Finding the Fourth Proportional to 198,859.88, 274,426.68 and 109,435.88

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Solution

The fourth proportional to 198,859.88, 274,426.68 and 109,435.88 is: 151,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,859.88 : 274,426.68 = 109,435.88 : x
  2. Step 2: Convert to fraction form
    198,859.88/274,426.68 = 109,435.88/x
  3. Step 3: Cross multiply
    198,859.88x = 274,426.68 × 109,435.88
  4. Step 4: Simplify right side
    198,859.88x = 30,032,125,221.28
  5. Step 5: Solve for x
    x = 30,032,125,221.28/198,859.88
  6. Step 6: Final answer
    x = 151,021.54

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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.