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Finding the Fourth Proportional to 71,081.82, 106,622.86 and 18,491.22

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Solution

The fourth proportional to 71,081.82, 106,622.86 and 18,491.22 is: 27,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,081.82 : 106,622.86 = 18,491.22 : x
  2. Step 2: Convert to fraction form
    71,081.82/106,622.86 = 18,491.22/x
  3. Step 3: Cross multiply
    71,081.82x = 106,622.86 × 18,491.22
  4. Step 4: Simplify right side
    71,081.82x = 1,971,586,228.17
  5. Step 5: Solve for x
    x = 1,971,586,228.17/71,081.82
  6. Step 6: Final answer
    x = 27,736.86

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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.