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Finding the Fourth Proportional to 192,797.12, 289,006.91 and 80,509.44

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Solution

The fourth proportional to 192,797.12, 289,006.91 and 80,509.44 is: 120,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,797.12 : 289,006.91 = 80,509.44 : x
  2. Step 2: Convert to fraction form
    192,797.12/289,006.91 = 80,509.44/x
  3. Step 3: Cross multiply
    192,797.12x = 289,006.91 × 80,509.44
  4. Step 4: Simplify right side
    192,797.12x = 23,267,784,077.68
  5. Step 5: Solve for x
    x = 23,267,784,077.68/192,797.12
  6. Step 6: Final answer
    x = 120,685.33

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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.