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Finding the Fourth Proportional to 71,215.81, 106,819.97 and 21,296.32

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Solution

The fourth proportional to 71,215.81, 106,819.97 and 21,296.32 is: 31,943.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,215.81 : 106,819.97 = 21,296.32 : x
  2. Step 2: Convert to fraction form
    71,215.81/106,819.97 = 21,296.32/x
  3. Step 3: Cross multiply
    71,215.81x = 106,819.97 × 21,296.32
  4. Step 4: Simplify right side
    71,215.81x = 2,274,871,889.98
  5. Step 5: Solve for x
    x = 2,274,871,889.98/71,215.81
  6. Step 6: Final answer
    x = 31,943.36

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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.