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Finding the Fourth Proportional to 198,960.72, 298,431.36 and 74,292

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Solution

The fourth proportional to 198,960.72, 298,431.36 and 74,292 is: 111,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,960.72 : 298,431.36 = 74,292 : x
  2. Step 2: Convert to fraction form
    198,960.72/298,431.36 = 74,292/x
  3. Step 3: Cross multiply
    198,960.72x = 298,431.36 × 74,292
  4. Step 4: Simplify right side
    198,960.72x = 22,171,062,597.12
  5. Step 5: Solve for x
    x = 22,171,062,597.12/198,960.72
  6. Step 6: Final answer
    x = 111,434.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.