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Finding the Fourth Proportional to 198,584, 297,708.56 and 86,179.54

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Solution

The fourth proportional to 198,584, 297,708.56 and 86,179.54 is: 129,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,584 : 297,708.56 = 86,179.54 : x
  2. Step 2: Convert to fraction form
    198,584/297,708.56 = 86,179.54/x
  3. Step 3: Cross multiply
    198,584x = 297,708.56 × 86,179.54
  4. Step 4: Simplify right side
    198,584x = 25,656,386,754.86
  5. Step 5: Solve for x
    x = 25,656,386,754.86/198,584
  6. Step 6: Final answer
    x = 129,196.65

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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.