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Finding the Fourth Proportional to 81,893.25, 122,708.25 and 68,771.25

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Solution

The fourth proportional to 81,893.25, 122,708.25 and 68,771.25 is: 103,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.25 : 122,708.25 = 68,771.25 : x
  2. Step 2: Convert to fraction form
    81,893.25/122,708.25 = 68,771.25/x
  3. Step 3: Cross multiply
    81,893.25x = 122,708.25 × 68,771.25
  4. Step 4: Simplify right side
    81,893.25x = 8,438,799,737.81
  5. Step 5: Solve for x
    x = 8,438,799,737.81/81,893.25
  6. Step 6: Final answer
    x = 103,046.34

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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.