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Finding the Fourth Proportional to 71,778.78, 107,690.79 and 33,826.51

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Solution

The fourth proportional to 71,778.78, 107,690.79 and 33,826.51 is: 50,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778.78 : 107,690.79 = 33,826.51 : x
  2. Step 2: Convert to fraction form
    71,778.78/107,690.79 = 33,826.51/x
  3. Step 3: Cross multiply
    71,778.78x = 107,690.79 × 33,826.51
  4. Step 4: Simplify right side
    71,778.78x = 3,642,803,584.84
  5. Step 5: Solve for x
    x = 3,642,803,584.84/71,778.78
  6. Step 6: Final answer
    x = 50,750.43

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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.