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Finding the Fourth Proportional to 81,286.64, 112,205.66 and 61,201.78

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Solution

The fourth proportional to 81,286.64, 112,205.66 and 61,201.78 is: 84,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,286.64 : 112,205.66 = 61,201.78 : x
  2. Step 2: Convert to fraction form
    81,286.64/112,205.66 = 61,201.78/x
  3. Step 3: Cross multiply
    81,286.64x = 112,205.66 × 61,201.78
  4. Step 4: Simplify right side
    81,286.64x = 6,867,185,531.55
  5. Step 5: Solve for x
    x = 6,867,185,531.55/81,286.64
  6. Step 6: Final answer
    x = 84,481.11

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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.