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Finding the Fourth Proportional to 55,758.70, 76,912 and 33,081.64

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Solution

The fourth proportional to 55,758.70, 76,912 and 33,081.64 is: 45,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758.70 : 76,912 = 33,081.64 : x
  2. Step 2: Convert to fraction form
    55,758.70/76,912 = 33,081.64/x
  3. Step 3: Cross multiply
    55,758.70x = 76,912 × 33,081.64
  4. Step 4: Simplify right side
    55,758.70x = 2,544,375,095.68
  5. Step 5: Solve for x
    x = 2,544,375,095.68/55,758.70
  6. Step 6: Final answer
    x = 45,631.89

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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.