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Finding the Fourth Proportional to 71,274.26, 106,947.03 and 31,859.66

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Solution

The fourth proportional to 71,274.26, 106,947.03 and 31,859.66 is: 47,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.26 : 106,947.03 = 31,859.66 : x
  2. Step 2: Convert to fraction form
    71,274.26/106,947.03 = 31,859.66/x
  3. Step 3: Cross multiply
    71,274.26x = 106,947.03 × 31,859.66
  4. Step 4: Simplify right side
    71,274.26x = 3,407,296,013.81
  5. Step 5: Solve for x
    x = 3,407,296,013.81/71,274.26
  6. Step 6: Final answer
    x = 47,805.42

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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.