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Finding the Fourth Proportional to 81,604.73, 112,615.31 and 47,634.41

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Solution

The fourth proportional to 81,604.73, 112,615.31 and 47,634.41 is: 65,735.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604.73 : 112,615.31 = 47,634.41 : x
  2. Step 2: Convert to fraction form
    81,604.73/112,615.31 = 47,634.41/x
  3. Step 3: Cross multiply
    81,604.73x = 112,615.31 × 47,634.41
  4. Step 4: Simplify right side
    81,604.73x = 5,364,363,610.65
  5. Step 5: Solve for x
    x = 5,364,363,610.65/81,604.73
  6. Step 6: Final answer
    x = 65,735.94

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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.