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Finding the Fourth Proportional to 198,787.76, 274,328.32 and 108,144.56

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Solution

The fourth proportional to 198,787.76, 274,328.32 and 108,144.56 is: 149,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,787.76 : 274,328.32 = 108,144.56 : x
  2. Step 2: Convert to fraction form
    198,787.76/274,328.32 = 108,144.56/x
  3. Step 3: Cross multiply
    198,787.76x = 274,328.32 × 108,144.56
  4. Step 4: Simplify right side
    198,787.76x = 29,667,115,461.94
  5. Step 5: Solve for x
    x = 29,667,115,461.94/198,787.76
  6. Step 6: Final answer
    x = 149,240.15

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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.