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Finding the Fourth Proportional to 199,212.54, 298,560.02 and 80,819.30

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Solution

The fourth proportional to 199,212.54, 298,560.02 and 80,819.30 is: 121,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,212.54 : 298,560.02 = 80,819.30 : x
  2. Step 2: Convert to fraction form
    199,212.54/298,560.02 = 80,819.30/x
  3. Step 3: Cross multiply
    199,212.54x = 298,560.02 × 80,819.30
  4. Step 4: Simplify right side
    199,212.54x = 24,129,409,927.49
  5. Step 5: Solve for x
    x = 24,129,409,927.49/199,212.54
  6. Step 6: Final answer
    x = 121,123.95

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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.