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Finding the Fourth Proportional to 71,212.84, 106,833.67 and 31,769.96

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Solution

The fourth proportional to 71,212.84, 106,833.67 and 31,769.96 is: 47,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,212.84 : 106,833.67 = 31,769.96 : x
  2. Step 2: Convert to fraction form
    71,212.84/106,833.67 = 31,769.96/x
  3. Step 3: Cross multiply
    71,212.84x = 106,833.67 × 31,769.96
  4. Step 4: Simplify right side
    71,212.84x = 3,394,101,422.55
  5. Step 5: Solve for x
    x = 3,394,101,422.55/71,212.84
  6. Step 6: Final answer
    x = 47,661.37

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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.