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Finding the Fourth Proportional to 81,892.85, 122,837.89 and 36,889.18

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Solution

The fourth proportional to 81,892.85, 122,837.89 and 36,889.18 is: 55,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.85 : 122,837.89 = 36,889.18 : x
  2. Step 2: Convert to fraction form
    81,892.85/122,837.89 = 36,889.18/x
  3. Step 3: Cross multiply
    81,892.85x = 122,837.89 × 36,889.18
  4. Step 4: Simplify right side
    81,892.85x = 4,531,389,035.03
  5. Step 5: Solve for x
    x = 4,531,389,035.03/81,892.85
  6. Step 6: Final answer
    x = 55,333.15

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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.