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Finding the Fourth Proportional to 198,978.08, 298,279.46 and 99,043.78

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Solution

The fourth proportional to 198,978.08, 298,279.46 and 99,043.78 is: 148,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,978.08 : 298,279.46 = 99,043.78 : x
  2. Step 2: Convert to fraction form
    198,978.08/298,279.46 = 99,043.78/x
  3. Step 3: Cross multiply
    198,978.08x = 298,279.46 × 99,043.78
  4. Step 4: Simplify right side
    198,978.08x = 29,542,725,214.76
  5. Step 5: Solve for x
    x = 29,542,725,214.76/198,978.08
  6. Step 6: Final answer
    x = 148,472.26

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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.