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Finding the Fourth Proportional to 81,262.14, 121,908.46 and 36,892

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Solution

The fourth proportional to 81,262.14, 121,908.46 and 36,892 is: 55,344.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,262.14 : 121,908.46 = 36,892 : x
  2. Step 2: Convert to fraction form
    81,262.14/121,908.46 = 36,892/x
  3. Step 3: Cross multiply
    81,262.14x = 121,908.46 × 36,892
  4. Step 4: Simplify right side
    81,262.14x = 4,497,446,906.32
  5. Step 5: Solve for x
    x = 4,497,446,906.32/81,262.14
  6. Step 6: Final answer
    x = 55,344.92

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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.