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Finding the Fourth Proportional to 192,812.60, 289,910.10 and 162,399.80

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Solution

The fourth proportional to 192,812.60, 289,910.10 and 162,399.80 is: 244,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,812.60 : 289,910.10 = 162,399.80 : x
  2. Step 2: Convert to fraction form
    192,812.60/289,910.10 = 162,399.80/x
  3. Step 3: Cross multiply
    192,812.60x = 289,910.10 × 162,399.80
  4. Step 4: Simplify right side
    192,812.60x = 47,081,342,257.98
  5. Step 5: Solve for x
    x = 47,081,342,257.98/192,812.60
  6. Step 6: Final answer
    x = 244,181.88

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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.