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Finding the Fourth Proportional to 197,408.72, 295,974.84 and 72,716.24

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Solution

The fourth proportional to 197,408.72, 295,974.84 and 72,716.24 is: 109,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,408.72 : 295,974.84 = 72,716.24 : x
  2. Step 2: Convert to fraction form
    197,408.72/295,974.84 = 72,716.24/x
  3. Step 3: Cross multiply
    197,408.72x = 295,974.84 × 72,716.24
  4. Step 4: Simplify right side
    197,408.72x = 21,522,177,499.40
  5. Step 5: Solve for x
    x = 21,522,177,499.40/197,408.72
  6. Step 6: Final answer
    x = 109,023.44

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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.