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Finding the Fourth Proportional to 89,800, 123,935.25 and 51,571.54

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Solution

The fourth proportional to 89,800, 123,935.25 and 51,571.54 is: 71,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,800 : 123,935.25 = 51,571.54 : x
  2. Step 2: Convert to fraction form
    89,800/123,935.25 = 51,571.54/x
  3. Step 3: Cross multiply
    89,800x = 123,935.25 × 51,571.54
  4. Step 4: Simplify right side
    89,800x = 6,391,531,702.79
  5. Step 5: Solve for x
    x = 6,391,531,702.79/89,800
  6. Step 6: Final answer
    x = 71,175.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.