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Finding the Fourth Proportional to 71,099.51, 106,647.91 and 21,213.43

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Solution

The fourth proportional to 71,099.51, 106,647.91 and 21,213.43 is: 31,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,099.51 : 106,647.91 = 21,213.43 : x
  2. Step 2: Convert to fraction form
    71,099.51/106,647.91 = 21,213.43/x
  3. Step 3: Cross multiply
    71,099.51x = 106,647.91 × 21,213.43
  4. Step 4: Simplify right side
    71,099.51x = 2,262,367,653.78
  5. Step 5: Solve for x
    x = 2,262,367,653.78/71,099.51
  6. Step 6: Final answer
    x = 31,819.74

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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.