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Finding the Fourth Proportional to 198,049.86, 297,074.79 and 79,738.02

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Solution

The fourth proportional to 198,049.86, 297,074.79 and 79,738.02 is: 119,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,049.86 : 297,074.79 = 79,738.02 : x
  2. Step 2: Convert to fraction form
    198,049.86/297,074.79 = 79,738.02/x
  3. Step 3: Cross multiply
    198,049.86x = 297,074.79 × 79,738.02
  4. Step 4: Simplify right side
    198,049.86x = 23,688,155,546.52
  5. Step 5: Solve for x
    x = 23,688,155,546.52/198,049.86
  6. Step 6: Final answer
    x = 119,607.03

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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.