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Finding the Fourth Proportional to 81,394.92, 122,085.45 and 25,233.75

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Solution

The fourth proportional to 81,394.92, 122,085.45 and 25,233.75 is: 37,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.92 : 122,085.45 = 25,233.75 : x
  2. Step 2: Convert to fraction form
    81,394.92/122,085.45 = 25,233.75/x
  3. Step 3: Cross multiply
    81,394.92x = 122,085.45 × 25,233.75
  4. Step 4: Simplify right side
    81,394.92x = 3,080,673,723.94
  5. Step 5: Solve for x
    x = 3,080,673,723.94/81,394.92
  6. Step 6: Final answer
    x = 37,848.48

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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.