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Finding the Fourth Proportional to 81,194.82, 112,063.11 and 47,213.82

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Solution

The fourth proportional to 81,194.82, 112,063.11 and 47,213.82 is: 65,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194.82 : 112,063.11 = 47,213.82 : x
  2. Step 2: Convert to fraction form
    81,194.82/112,063.11 = 47,213.82/x
  3. Step 3: Cross multiply
    81,194.82x = 112,063.11 × 47,213.82
  4. Step 4: Simplify right side
    81,194.82x = 5,290,927,504.18
  5. Step 5: Solve for x
    x = 5,290,927,504.18/81,194.82
  6. Step 6: Final answer
    x = 65,163.36

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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.