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Finding the Fourth Proportional to 71,764.32, 107,653.82 and 27,428.39

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Solution

The fourth proportional to 71,764.32, 107,653.82 and 27,428.39 is: 41,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.32 : 107,653.82 = 27,428.39 : x
  2. Step 2: Convert to fraction form
    71,764.32/107,653.82 = 27,428.39/x
  3. Step 3: Cross multiply
    71,764.32x = 107,653.82 × 27,428.39
  4. Step 4: Simplify right side
    71,764.32x = 2,952,770,959.95
  5. Step 5: Solve for x
    x = 2,952,770,959.95/71,764.32
  6. Step 6: Final answer
    x = 41,145.39

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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.