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Finding the Fourth Proportional to 81,906.48, 122,889.29 and 28,606.31

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Solution

The fourth proportional to 81,906.48, 122,889.29 and 28,606.31 is: 42,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.48 : 122,889.29 = 28,606.31 : x
  2. Step 2: Convert to fraction form
    81,906.48/122,889.29 = 28,606.31/x
  3. Step 3: Cross multiply
    81,906.48x = 122,889.29 × 28,606.31
  4. Step 4: Simplify right side
    81,906.48x = 3,515,408,367.94
  5. Step 5: Solve for x
    x = 3,515,408,367.94/81,906.48
  6. Step 6: Final answer
    x = 42,919.78

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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.