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Finding the Fourth Proportional to 192,939.56, 289,409.46 and 80,558.54

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Solution

The fourth proportional to 192,939.56, 289,409.46 and 80,558.54 is: 120,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,939.56 : 289,409.46 = 80,558.54 : x
  2. Step 2: Convert to fraction form
    192,939.56/289,409.46 = 80,558.54/x
  3. Step 3: Cross multiply
    192,939.56x = 289,409.46 × 80,558.54
  4. Step 4: Simplify right side
    192,939.56x = 23,314,403,559.79
  5. Step 5: Solve for x
    x = 23,314,403,559.79/192,939.56
  6. Step 6: Final answer
    x = 120,837.86

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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.