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Finding the Fourth Proportional to 86,405.82, 129,604.41 and 33,824.94

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Solution

The fourth proportional to 86,405.82, 129,604.41 and 33,824.94 is: 50,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405.82 : 129,604.41 = 33,824.94 : x
  2. Step 2: Convert to fraction form
    86,405.82/129,604.41 = 33,824.94/x
  3. Step 3: Cross multiply
    86,405.82x = 129,604.41 × 33,824.94
  4. Step 4: Simplify right side
    86,405.82x = 4,383,861,391.99
  5. Step 5: Solve for x
    x = 4,383,861,391.99/86,405.82
  6. Step 6: Final answer
    x = 50,735.72

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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.