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Finding the Fourth Proportional to 51,397.97, 77,135.90 and 21,836.54

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Solution

The fourth proportional to 51,397.97, 77,135.90 and 21,836.54 is: 32,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.97 : 77,135.90 = 21,836.54 : x
  2. Step 2: Convert to fraction form
    51,397.97/77,135.90 = 21,836.54/x
  3. Step 3: Cross multiply
    51,397.97x = 77,135.90 × 21,836.54
  4. Step 4: Simplify right side
    51,397.97x = 1,684,381,249.44
  5. Step 5: Solve for x
    x = 1,684,381,249.44/51,397.97
  6. Step 6: Final answer
    x = 32,771.36

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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.