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Finding the Fourth Proportional to 51,223.78, 76,843.77 and 21,645.82

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Solution

The fourth proportional to 51,223.78, 76,843.77 and 21,645.82 is: 32,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,223.78 : 76,843.77 = 21,645.82 : x
  2. Step 2: Convert to fraction form
    51,223.78/76,843.77 = 21,645.82/x
  3. Step 3: Cross multiply
    51,223.78x = 76,843.77 × 21,645.82
  4. Step 4: Simplify right side
    51,223.78x = 1,663,346,413.54
  5. Step 5: Solve for x
    x = 1,663,346,413.54/51,223.78
  6. Step 6: Final answer
    x = 32,472.15

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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.