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Finding the Fourth Proportional to 81,906.88, 113,101.68 and 51,744.64

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Solution

The fourth proportional to 81,906.88, 113,101.68 and 51,744.64 is: 71,451.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.88 : 113,101.68 = 51,744.64 : x
  2. Step 2: Convert to fraction form
    81,906.88/113,101.68 = 51,744.64/x
  3. Step 3: Cross multiply
    81,906.88x = 113,101.68 × 51,744.64
  4. Step 4: Simplify right side
    81,906.88x = 5,852,405,715.00
  5. Step 5: Solve for x
    x = 5,852,405,715.00/81,906.88
  6. Step 6: Final answer
    x = 71,451.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.