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Finding the Fourth Proportional to 225,893.56, 338,869.74 and 68,137.96

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Solution

The fourth proportional to 225,893.56, 338,869.74 and 68,137.96 is: 102,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,893.56 : 338,869.74 = 68,137.96 : x
  2. Step 2: Convert to fraction form
    225,893.56/338,869.74 = 68,137.96/x
  3. Step 3: Cross multiply
    225,893.56x = 338,869.74 × 68,137.96
  4. Step 4: Simplify right side
    225,893.56x = 23,089,892,789.33
  5. Step 5: Solve for x
    x = 23,089,892,789.33/225,893.56
  6. Step 6: Final answer
    x = 102,215.81

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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.