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Finding the Fourth Proportional to 81,777.44, 112,863.32 and 49,939.64

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Solution

The fourth proportional to 81,777.44, 112,863.32 and 49,939.64 is: 68,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.44 : 112,863.32 = 49,939.64 : x
  2. Step 2: Convert to fraction form
    81,777.44/112,863.32 = 49,939.64/x
  3. Step 3: Cross multiply
    81,777.44x = 112,863.32 × 49,939.64
  4. Step 4: Simplify right side
    81,777.44x = 5,636,353,570.00
  5. Step 5: Solve for x
    x = 5,636,353,570.00/81,777.44
  6. Step 6: Final answer
    x = 68,923.09

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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.