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Finding the Fourth Proportional to 81,910.86, 122,866.20 and 25,755.89

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Solution

The fourth proportional to 81,910.86, 122,866.20 and 25,755.89 is: 38,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,910.86 : 122,866.20 = 25,755.89 : x
  2. Step 2: Convert to fraction form
    81,910.86/122,866.20 = 25,755.89/x
  3. Step 3: Cross multiply
    81,910.86x = 122,866.20 × 25,755.89
  4. Step 4: Simplify right side
    81,910.86x = 3,164,528,331.92
  5. Step 5: Solve for x
    x = 3,164,528,331.92/81,910.86
  6. Step 6: Final answer
    x = 38,633.81

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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.