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Finding the Fourth Proportional to 198,961.57, 298,254.74 and 99,027.28

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Solution

The fourth proportional to 198,961.57, 298,254.74 and 99,027.28 is: 148,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,961.57 : 298,254.74 = 99,027.28 : x
  2. Step 2: Convert to fraction form
    198,961.57/298,254.74 = 99,027.28/x
  3. Step 3: Cross multiply
    198,961.57x = 298,254.74 × 99,027.28
  4. Step 4: Simplify right side
    198,961.57x = 29,535,357,340.63
  5. Step 5: Solve for x
    x = 29,535,357,340.63/198,961.57
  6. Step 6: Final answer
    x = 148,447.55

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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.