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Finding the Fourth Proportional to 51,906.78, 77,871.12 and 16,843.71

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Solution

The fourth proportional to 51,906.78, 77,871.12 and 16,843.71 is: 25,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.78 : 77,871.12 = 16,843.71 : x
  2. Step 2: Convert to fraction form
    51,906.78/77,871.12 = 16,843.71/x
  3. Step 3: Cross multiply
    51,906.78x = 77,871.12 × 16,843.71
  4. Step 4: Simplify right side
    51,906.78x = 1,311,638,562.66
  5. Step 5: Solve for x
    x = 1,311,638,562.66/51,906.78
  6. Step 6: Final answer
    x = 25,269.12

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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.