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Finding the Fourth Proportional to 198,625.98, 274,100.58 and 107,984.20

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Solution

The fourth proportional to 198,625.98, 274,100.58 and 107,984.20 is: 149,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,625.98 : 274,100.58 = 107,984.20 : x
  2. Step 2: Convert to fraction form
    198,625.98/274,100.58 = 107,984.20/x
  3. Step 3: Cross multiply
    198,625.98x = 274,100.58 × 107,984.20
  4. Step 4: Simplify right side
    198,625.98x = 29,598,531,850.84
  5. Step 5: Solve for x
    x = 29,598,531,850.84/198,625.98
  6. Step 6: Final answer
    x = 149,016.42

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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.