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Finding the Fourth Proportional to 73,942.78, 110,912.55 and 31,850.86

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Solution

The fourth proportional to 73,942.78, 110,912.55 and 31,850.86 is: 47,775.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,942.78 : 110,912.55 = 31,850.86 : x
  2. Step 2: Convert to fraction form
    73,942.78/110,912.55 = 31,850.86/x
  3. Step 3: Cross multiply
    73,942.78x = 110,912.55 × 31,850.86
  4. Step 4: Simplify right side
    73,942.78x = 3,532,660,102.29
  5. Step 5: Solve for x
    x = 3,532,660,102.29/73,942.78
  6. Step 6: Final answer
    x = 47,775.59

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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.