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Finding the Fourth Proportional to 198,463, 273,883.26 and 109,039

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Solution

The fourth proportional to 198,463, 273,883.26 and 109,039 is: 150,476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,463 : 273,883.26 = 109,039 : x
  2. Step 2: Convert to fraction form
    198,463/273,883.26 = 109,039/x
  3. Step 3: Cross multiply
    198,463x = 273,883.26 × 109,039
  4. Step 4: Simplify right side
    198,463x = 29,863,956,787.14
  5. Step 5: Solve for x
    x = 29,863,956,787.14/198,463
  6. Step 6: Final answer
    x = 150,476.19

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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.