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Finding the Fourth Proportional to 81,967.91, 113,168.02 and 66,896.57

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Solution

The fourth proportional to 81,967.91, 113,168.02 and 66,896.57 is: 92,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967.91 : 113,168.02 = 66,896.57 : x
  2. Step 2: Convert to fraction form
    81,967.91/113,168.02 = 66,896.57/x
  3. Step 3: Cross multiply
    81,967.91x = 113,168.02 × 66,896.57
  4. Step 4: Simplify right side
    81,967.91x = 7,570,552,735.88
  5. Step 5: Solve for x
    x = 7,570,552,735.88/81,967.91
  6. Step 6: Final answer
    x = 92,359.96

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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.