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Finding the Fourth Proportional to 81,580.92, 122,415.96 and 31,662.96

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Solution

The fourth proportional to 81,580.92, 122,415.96 and 31,662.96 is: 47,511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,580.92 : 122,415.96 = 31,662.96 : x
  2. Step 2: Convert to fraction form
    81,580.92/122,415.96 = 31,662.96/x
  3. Step 3: Cross multiply
    81,580.92x = 122,415.96 × 31,662.96
  4. Step 4: Simplify right side
    81,580.92x = 3,876,051,644.84
  5. Step 5: Solve for x
    x = 3,876,051,644.84/81,580.92
  6. Step 6: Final answer
    x = 47,511.74

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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.