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Finding the Fourth Proportional to 71,213.78, 106,820.54 and 26,850.49

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Solution

The fourth proportional to 71,213.78, 106,820.54 and 26,850.49 is: 40,275.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,213.78 : 106,820.54 = 26,850.49 : x
  2. Step 2: Convert to fraction form
    71,213.78/106,820.54 = 26,850.49/x
  3. Step 3: Cross multiply
    71,213.78x = 106,820.54 × 26,850.49
  4. Step 4: Simplify right side
    71,213.78x = 2,868,183,172.71
  5. Step 5: Solve for x
    x = 2,868,183,172.71/71,213.78
  6. Step 6: Final answer
    x = 40,275.68

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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.