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Finding the Fourth Proportional to 192,812.80, 289,278.28 and 86,286.40

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Solution

The fourth proportional to 192,812.80, 289,278.28 and 86,286.40 is: 129,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.80 : 289,278.28 = 86,286.40 : x
  2. Step 2: Convert to fraction form
    192,812.80/289,278.28 = 86,286.40/x
  3. Step 3: Cross multiply
    192,812.80x = 289,278.28 × 86,286.40
  4. Step 4: Simplify right side
    192,812.80x = 24,960,781,379.39
  5. Step 5: Solve for x
    x = 24,960,781,379.39/192,812.80
  6. Step 6: Final answer
    x = 129,456.04

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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.