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Finding the Fourth Proportional to 198,261, 273,596.94 and 113,375.16

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Solution

The fourth proportional to 198,261, 273,596.94 and 113,375.16 is: 156,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,261 : 273,596.94 = 113,375.16 : x
  2. Step 2: Convert to fraction form
    198,261/273,596.94 = 113,375.16/x
  3. Step 3: Cross multiply
    198,261x = 273,596.94 × 113,375.16
  4. Step 4: Simplify right side
    198,261x = 31,019,096,848.01
  5. Step 5: Solve for x
    x = 31,019,096,848.01/198,261
  6. Step 6: Final answer
    x = 156,455.87

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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.