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Finding the Fourth Proportional to 81,867.75, 122,840.51 and 26,463.75

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Solution

The fourth proportional to 81,867.75, 122,840.51 and 26,463.75 is: 39,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,867.75 : 122,840.51 = 26,463.75 : x
  2. Step 2: Convert to fraction form
    81,867.75/122,840.51 = 26,463.75/x
  3. Step 3: Cross multiply
    81,867.75x = 122,840.51 × 26,463.75
  4. Step 4: Simplify right side
    81,867.75x = 3,250,820,414.19
  5. Step 5: Solve for x
    x = 3,250,820,414.19/81,867.75
  6. Step 6: Final answer
    x = 39,708.19

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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.