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Finding the Fourth Proportional to 199,067.60, 298,716.60 and 74,421.20

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Solution

The fourth proportional to 199,067.60, 298,716.60 and 74,421.20 is: 111,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,067.60 : 298,716.60 = 74,421.20 : x
  2. Step 2: Convert to fraction form
    199,067.60/298,716.60 = 74,421.20/x
  3. Step 3: Cross multiply
    199,067.60x = 298,716.60 × 74,421.20
  4. Step 4: Simplify right side
    199,067.60x = 22,230,847,831.92
  5. Step 5: Solve for x
    x = 22,230,847,831.92/199,067.60
  6. Step 6: Final answer
    x = 111,674.87

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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.