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Finding the Fourth Proportional to 192,998.45, 289,398.96 and 80,648.01

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Solution

The fourth proportional to 192,998.45, 289,398.96 and 80,648.01 is: 120,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,998.45 : 289,398.96 = 80,648.01 : x
  2. Step 2: Convert to fraction form
    192,998.45/289,398.96 = 80,648.01/x
  3. Step 3: Cross multiply
    192,998.45x = 289,398.96 × 80,648.01
  4. Step 4: Simplify right side
    192,998.45x = 23,339,450,220.07
  5. Step 5: Solve for x
    x = 23,339,450,220.07/192,998.45
  6. Step 6: Final answer
    x = 120,930.76

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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.