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Finding the Fourth Proportional to 120,580.73, 180,769.03 and 45,659.57

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Solution

The fourth proportional to 120,580.73, 180,769.03 and 45,659.57 is: 68,450.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.73 : 180,769.03 = 45,659.57 : x
  2. Step 2: Convert to fraction form
    120,580.73/180,769.03 = 45,659.57/x
  3. Step 3: Cross multiply
    120,580.73x = 180,769.03 × 45,659.57
  4. Step 4: Simplify right side
    120,580.73x = 8,253,836,516.89
  5. Step 5: Solve for x
    x = 8,253,836,516.89/120,580.73
  6. Step 6: Final answer
    x = 68,450.71

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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.