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Finding the Fourth Proportional to 81,828, 122,742 and 32,614.56

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Solution

The fourth proportional to 81,828, 122,742 and 32,614.56 is: 48,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,828 : 122,742 = 32,614.56 : x
  2. Step 2: Convert to fraction form
    81,828/122,742 = 32,614.56/x
  3. Step 3: Cross multiply
    81,828x = 122,742 × 32,614.56
  4. Step 4: Simplify right side
    81,828x = 4,003,176,323.52
  5. Step 5: Solve for x
    x = 4,003,176,323.52/81,828
  6. Step 6: Final answer
    x = 48,921.84

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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.