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Finding the Fourth Proportional to 198,775.50, 274,310.19 and 109,351.50

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Solution

The fourth proportional to 198,775.50, 274,310.19 and 109,351.50 is: 150,905.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,775.50 : 274,310.19 = 109,351.50 : x
  2. Step 2: Convert to fraction form
    198,775.50/274,310.19 = 109,351.50/x
  3. Step 3: Cross multiply
    198,775.50x = 274,310.19 × 109,351.50
  4. Step 4: Simplify right side
    198,775.50x = 29,996,230,741.79
  5. Step 5: Solve for x
    x = 29,996,230,741.79/198,775.50
  6. Step 6: Final answer
    x = 150,905.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.