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Finding the Fourth Proportional to 75,769, 113,687.79 and 33,087.67

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Solution

The fourth proportional to 75,769, 113,687.79 and 33,087.67 is: 49,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,769 : 113,687.79 = 33,087.67 : x
  2. Step 2: Convert to fraction form
    75,769/113,687.79 = 33,087.67/x
  3. Step 3: Cross multiply
    75,769x = 113,687.79 × 33,087.67
  4. Step 4: Simplify right side
    75,769x = 3,761,664,078.55
  5. Step 5: Solve for x
    x = 3,761,664,078.55/75,769
  6. Step 6: Final answer
    x = 49,646.48

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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.