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Finding the Fourth Proportional to 81,654.98, 122,496.80 and 37,286.21

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Solution

The fourth proportional to 81,654.98, 122,496.80 and 37,286.21 is: 55,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,654.98 : 122,496.80 = 37,286.21 : x
  2. Step 2: Convert to fraction form
    81,654.98/122,496.80 = 37,286.21/x
  3. Step 3: Cross multiply
    81,654.98x = 122,496.80 × 37,286.21
  4. Step 4: Simplify right side
    81,654.98x = 4,567,441,528.94
  5. Step 5: Solve for x
    x = 4,567,441,528.94/81,654.98
  6. Step 6: Final answer
    x = 55,935.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.