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Finding the Fourth Proportional to 36,978.18, 51,029.82 and 20,211.18

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Solution

The fourth proportional to 36,978.18, 51,029.82 and 20,211.18 is: 27,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.18 : 51,029.82 = 20,211.18 : x
  2. Step 2: Convert to fraction form
    36,978.18/51,029.82 = 20,211.18/x
  3. Step 3: Cross multiply
    36,978.18x = 51,029.82 × 20,211.18
  4. Step 4: Simplify right side
    36,978.18x = 1,031,372,877.39
  5. Step 5: Solve for x
    x = 1,031,372,877.39/36,978.18
  6. Step 6: Final answer
    x = 27,891.39

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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.