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Finding the Fourth Proportional to 198,857.39, 298,286.69 and 49,097.69

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Solution

The fourth proportional to 198,857.39, 298,286.69 and 49,097.69 is: 73,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,857.39 : 298,286.69 = 49,097.69 : x
  2. Step 2: Convert to fraction form
    198,857.39/298,286.69 = 49,097.69/x
  3. Step 3: Cross multiply
    198,857.39x = 298,286.69 × 49,097.69
  4. Step 4: Simplify right side
    198,857.39x = 14,645,187,436.75
  5. Step 5: Solve for x
    x = 14,645,187,436.75/198,857.39
  6. Step 6: Final answer
    x = 73,646.68

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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.