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Finding the Fourth Proportional to 198,705.76, 274,211.35 and 108,059.77

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Solution

The fourth proportional to 198,705.76, 274,211.35 and 108,059.77 is: 149,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,705.76 : 274,211.35 = 108,059.77 : x
  2. Step 2: Convert to fraction form
    198,705.76/274,211.35 = 108,059.77/x
  3. Step 3: Cross multiply
    198,705.76x = 274,211.35 × 108,059.77
  4. Step 4: Simplify right side
    198,705.76x = 29,631,215,788.92
  5. Step 5: Solve for x
    x = 29,631,215,788.92/198,705.76
  6. Step 6: Final answer
    x = 149,121.07

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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.