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Finding the Fourth Proportional to 198,896.99, 298,346.29 and 80,570.57

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Solution

The fourth proportional to 198,896.99, 298,346.29 and 80,570.57 is: 120,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,896.99 : 298,346.29 = 80,570.57 : x
  2. Step 2: Convert to fraction form
    198,896.99/298,346.29 = 80,570.57/x
  3. Step 3: Cross multiply
    198,896.99x = 298,346.29 × 80,570.57
  4. Step 4: Simplify right side
    198,896.99x = 24,037,928,949.53
  5. Step 5: Solve for x
    x = 24,037,928,949.53/198,896.99
  6. Step 6: Final answer
    x = 120,856.18

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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.