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Finding the Fourth Proportional to 81,355.44, 121,834.44 and 50,147.76

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Solution

The fourth proportional to 81,355.44, 121,834.44 and 50,147.76 is: 75,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,355.44 : 121,834.44 = 50,147.76 : x
  2. Step 2: Convert to fraction form
    81,355.44/121,834.44 = 50,147.76/x
  3. Step 3: Cross multiply
    81,355.44x = 121,834.44 × 50,147.76
  4. Step 4: Simplify right side
    81,355.44x = 6,109,724,256.85
  5. Step 5: Solve for x
    x = 6,109,724,256.85/81,355.44
  6. Step 6: Final answer
    x = 75,099.15

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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.