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Finding the Fourth Proportional to 192,796.36, 289,005.78 and 80,508.69

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Solution

The fourth proportional to 192,796.36, 289,005.78 and 80,508.69 is: 120,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,796.36 : 289,005.78 = 80,508.69 : x
  2. Step 2: Convert to fraction form
    192,796.36/289,005.78 = 80,508.69/x
  3. Step 3: Cross multiply
    192,796.36x = 289,005.78 × 80,508.69
  4. Step 4: Simplify right side
    192,796.36x = 23,267,476,986.46
  5. Step 5: Solve for x
    x = 23,267,476,986.46/192,796.36
  6. Step 6: Final answer
    x = 120,684.21

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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.