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Finding the Fourth Proportional to 192,871.85, 289,167.65 and 80,584.19

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Solution

The fourth proportional to 192,871.85, 289,167.65 and 80,584.19 is: 120,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,871.85 : 289,167.65 = 80,584.19 : x
  2. Step 2: Convert to fraction form
    192,871.85/289,167.65 = 80,584.19/x
  3. Step 3: Cross multiply
    192,871.85x = 289,167.65 × 80,584.19
  4. Step 4: Simplify right side
    192,871.85x = 23,302,339,605.08
  5. Step 5: Solve for x
    x = 23,302,339,605.08/192,871.85
  6. Step 6: Final answer
    x = 120,817.73

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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.