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Finding the Fourth Proportional to 198,920.73, 274,517.33 and 108,280

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Solution

The fourth proportional to 198,920.73, 274,517.33 and 108,280 is: 149,430.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,920.73 : 274,517.33 = 108,280 : x
  2. Step 2: Convert to fraction form
    198,920.73/274,517.33 = 108,280/x
  3. Step 3: Cross multiply
    198,920.73x = 274,517.33 × 108,280
  4. Step 4: Simplify right side
    198,920.73x = 29,724,736,492.40
  5. Step 5: Solve for x
    x = 29,724,736,492.40/198,920.73
  6. Step 6: Final answer
    x = 149,430.06

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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.