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Finding the Fourth Proportional to 192,871.82, 289,353.94 and 80,489.52

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Solution

The fourth proportional to 192,871.82, 289,353.94 and 80,489.52 is: 120,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,871.82 : 289,353.94 = 80,489.52 : x
  2. Step 2: Convert to fraction form
    192,871.82/289,353.94 = 80,489.52/x
  3. Step 3: Cross multiply
    192,871.82x = 289,353.94 × 80,489.52
  4. Step 4: Simplify right side
    192,871.82x = 23,289,959,740.71
  5. Step 5: Solve for x
    x = 23,289,959,740.71/192,871.82
  6. Step 6: Final answer
    x = 120,753.56

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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.