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Finding the Fourth Proportional to 198,820, 274,377.36 and 109,396

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Solution

The fourth proportional to 198,820, 274,377.36 and 109,396 is: 150,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,820 : 274,377.36 = 109,396 : x
  2. Step 2: Convert to fraction form
    198,820/274,377.36 = 109,396/x
  3. Step 3: Cross multiply
    198,820x = 274,377.36 × 109,396
  4. Step 4: Simplify right side
    198,820x = 30,015,785,674.56
  5. Step 5: Solve for x
    x = 30,015,785,674.56/198,820
  6. Step 6: Final answer
    x = 150,969.65

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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.