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Finding the Fourth Proportional to 192,906.89, 289,360.37 and 80,525.81

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Solution

The fourth proportional to 192,906.89, 289,360.37 and 80,525.81 is: 120,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,906.89 : 289,360.37 = 80,525.81 : x
  2. Step 2: Convert to fraction form
    192,906.89/289,360.37 = 80,525.81/x
  3. Step 3: Cross multiply
    192,906.89x = 289,360.37 × 80,525.81
  4. Step 4: Simplify right side
    192,906.89x = 23,300,978,176.15
  5. Step 5: Solve for x
    x = 23,300,978,176.15/192,906.89
  6. Step 6: Final answer
    x = 120,788.73

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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.