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Finding the Fourth Proportional to 81,893.73, 122,612.49 and 41,825.97

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Solution

The fourth proportional to 81,893.73, 122,612.49 and 41,825.97 is: 62,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,893.73 : 122,612.49 = 41,825.97 : x
  2. Step 2: Convert to fraction form
    81,893.73/122,612.49 = 41,825.97/x
  3. Step 3: Cross multiply
    81,893.73x = 122,612.49 × 41,825.97
  4. Step 4: Simplify right side
    81,893.73x = 5,128,386,328.37
  5. Step 5: Solve for x
    x = 5,128,386,328.37/81,893.73
  6. Step 6: Final answer
    x = 62,622.45

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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.