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Finding the Fourth Proportional to 198,664, 274,156.32 and 109,240

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Solution

The fourth proportional to 198,664, 274,156.32 and 109,240 is: 150,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,664 : 274,156.32 = 109,240 : x
  2. Step 2: Convert to fraction form
    198,664/274,156.32 = 109,240/x
  3. Step 3: Cross multiply
    198,664x = 274,156.32 × 109,240
  4. Step 4: Simplify right side
    198,664x = 29,948,836,396.80
  5. Step 5: Solve for x
    x = 29,948,836,396.80/198,664
  6. Step 6: Final answer
    x = 150,751.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.