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Finding the Fourth Proportional to 198,536, 273,979.68 and 109,112

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Solution

The fourth proportional to 198,536, 273,979.68 and 109,112 is: 150,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536 : 273,979.68 = 109,112 : x
  2. Step 2: Convert to fraction form
    198,536/273,979.68 = 109,112/x
  3. Step 3: Cross multiply
    198,536x = 273,979.68 × 109,112
  4. Step 4: Simplify right side
    198,536x = 29,894,470,844.16
  5. Step 5: Solve for x
    x = 29,894,470,844.16/198,536
  6. Step 6: Final answer
    x = 150,574.56

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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.