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Finding the Fourth Proportional to 81,892.56, 122,840.38 and 25,731.64

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Solution

The fourth proportional to 81,892.56, 122,840.38 and 25,731.64 is: 38,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.56 : 122,840.38 = 25,731.64 : x
  2. Step 2: Convert to fraction form
    81,892.56/122,840.38 = 25,731.64/x
  3. Step 3: Cross multiply
    81,892.56x = 122,840.38 × 25,731.64
  4. Step 4: Simplify right side
    81,892.56x = 3,160,884,435.62
  5. Step 5: Solve for x
    x = 3,160,884,435.62/81,892.56
  6. Step 6: Final answer
    x = 38,597.94

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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.