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Finding the Fourth Proportional to 81,431.73, 122,702.31 and 66,964.73

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Solution

The fourth proportional to 81,431.73, 122,702.31 and 66,964.73 is: 100,903.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,431.73 : 122,702.31 = 66,964.73 : x
  2. Step 2: Convert to fraction form
    81,431.73/122,702.31 = 66,964.73/x
  3. Step 3: Cross multiply
    81,431.73x = 122,702.31 × 66,964.73
  4. Step 4: Simplify right side
    81,431.73x = 8,216,726,446.01
  5. Step 5: Solve for x
    x = 8,216,726,446.01/81,431.73
  6. Step 6: Final answer
    x = 100,903.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.