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Finding the Fourth Proportional to 198,104.64, 273,384 and 113,268.48

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Solution

The fourth proportional to 198,104.64, 273,384 and 113,268.48 is: 156,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,104.64 : 273,384 = 113,268.48 : x
  2. Step 2: Convert to fraction form
    198,104.64/273,384 = 113,268.48/x
  3. Step 3: Cross multiply
    198,104.64x = 273,384 × 113,268.48
  4. Step 4: Simplify right side
    198,104.64x = 30,965,790,136.32
  5. Step 5: Solve for x
    x = 30,965,790,136.32/198,104.64
  6. Step 6: Final answer
    x = 156,310.27

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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.