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Finding the Fourth Proportional to 81,812.92, 122,731.69 and 25,640.54

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Solution

The fourth proportional to 81,812.92, 122,731.69 and 25,640.54 is: 38,464.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812.92 : 122,731.69 = 25,640.54 : x
  2. Step 2: Convert to fraction form
    81,812.92/122,731.69 = 25,640.54/x
  3. Step 3: Cross multiply
    81,812.92x = 122,731.69 × 25,640.54
  4. Step 4: Simplify right side
    81,812.92x = 3,146,906,806.71
  5. Step 5: Solve for x
    x = 3,146,906,806.71/81,812.92
  6. Step 6: Final answer
    x = 38,464.67

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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.