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Finding the Fourth Proportional to 81,841.50, 122,761.91 and 22,677

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Solution

The fourth proportional to 81,841.50, 122,761.91 and 22,677 is: 34,015.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.50 : 122,761.91 = 22,677 : x
  2. Step 2: Convert to fraction form
    81,841.50/122,761.91 = 22,677/x
  3. Step 3: Cross multiply
    81,841.50x = 122,761.91 × 22,677
  4. Step 4: Simplify right side
    81,841.50x = 2,783,871,833.07
  5. Step 5: Solve for x
    x = 2,783,871,833.07/81,841.50
  6. Step 6: Final answer
    x = 34,015.41

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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.