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Finding the Fourth Proportional to 198,402.69, 273,797.72 and 107,760.42

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Solution

The fourth proportional to 198,402.69, 273,797.72 and 107,760.42 is: 148,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,402.69 : 273,797.72 = 107,760.42 : x
  2. Step 2: Convert to fraction form
    198,402.69/273,797.72 = 107,760.42/x
  3. Step 3: Cross multiply
    198,402.69x = 273,797.72 × 107,760.42
  4. Step 4: Simplify right side
    198,402.69x = 29,504,557,167.54
  5. Step 5: Solve for x
    x = 29,504,557,167.54/198,402.69
  6. Step 6: Final answer
    x = 148,710.47

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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.