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Finding the Fourth Proportional to 81,984.96, 122,951.52 and 26,568

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Solution

The fourth proportional to 81,984.96, 122,951.52 and 26,568 is: 39,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.96 : 122,951.52 = 26,568 : x
  2. Step 2: Convert to fraction form
    81,984.96/122,951.52 = 26,568/x
  3. Step 3: Cross multiply
    81,984.96x = 122,951.52 × 26,568
  4. Step 4: Simplify right side
    81,984.96x = 3,266,575,983.36
  5. Step 5: Solve for x
    x = 3,266,575,983.36/81,984.96
  6. Step 6: Final answer
    x = 39,843.60

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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.