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Finding the Fourth Proportional to 192,919.20, 289,378.80 and 68,272.80

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Solution

The fourth proportional to 192,919.20, 289,378.80 and 68,272.80 is: 102,409.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,919.20 : 289,378.80 = 68,272.80 : x
  2. Step 2: Convert to fraction form
    192,919.20/289,378.80 = 68,272.80/x
  3. Step 3: Cross multiply
    192,919.20x = 289,378.80 × 68,272.80
  4. Step 4: Simplify right side
    192,919.20x = 19,756,700,936.64
  5. Step 5: Solve for x
    x = 19,756,700,936.64/192,919.20
  6. Step 6: Final answer
    x = 102,409.20

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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.