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Finding the Fourth Proportional to 192,546.96, 288,821.16 and 126,405.60

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Solution

The fourth proportional to 192,546.96, 288,821.16 and 126,405.60 is: 189,608.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,546.96 : 288,821.16 = 126,405.60 : x
  2. Step 2: Convert to fraction form
    192,546.96/288,821.16 = 126,405.60/x
  3. Step 3: Cross multiply
    192,546.96x = 288,821.16 × 126,405.60
  4. Step 4: Simplify right side
    192,546.96x = 36,508,612,022.50
  5. Step 5: Solve for x
    x = 36,508,612,022.50/192,546.96
  6. Step 6: Final answer
    x = 189,608.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.