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Finding the Fourth Proportional to 36,978.31, 51,030.17 and 21,063.43

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Solution

The fourth proportional to 36,978.31, 51,030.17 and 21,063.43 is: 29,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.31 : 51,030.17 = 21,063.43 : x
  2. Step 2: Convert to fraction form
    36,978.31/51,030.17 = 21,063.43/x
  3. Step 3: Cross multiply
    36,978.31x = 51,030.17 × 21,063.43
  4. Step 4: Simplify right side
    36,978.31x = 1,074,870,413.68
  5. Step 5: Solve for x
    x = 1,074,870,413.68/36,978.31
  6. Step 6: Final answer
    x = 29,067.59

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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.