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Finding the Fourth Proportional to 198,378.56, 273,695.82 and 112,325.78

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Solution

The fourth proportional to 198,378.56, 273,695.82 and 112,325.78 is: 154,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,378.56 : 273,695.82 = 112,325.78 : x
  2. Step 2: Convert to fraction form
    198,378.56/273,695.82 = 112,325.78/x
  3. Step 3: Cross multiply
    198,378.56x = 273,695.82 × 112,325.78
  4. Step 4: Simplify right side
    198,378.56x = 30,743,096,464.24
  5. Step 5: Solve for x
    x = 30,743,096,464.24/198,378.56
  6. Step 6: Final answer
    x = 154,971.87

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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.