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Finding the Fourth Proportional to 198,115.76, 297,251.40 and 87,230

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Solution

The fourth proportional to 198,115.76, 297,251.40 and 87,230 is: 130,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,115.76 : 297,251.40 = 87,230 : x
  2. Step 2: Convert to fraction form
    198,115.76/297,251.40 = 87,230/x
  3. Step 3: Cross multiply
    198,115.76x = 297,251.40 × 87,230
  4. Step 4: Simplify right side
    198,115.76x = 25,929,239,622.00
  5. Step 5: Solve for x
    x = 25,929,239,622.00/198,115.76
  6. Step 6: Final answer
    x = 130,879.24

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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.