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Finding the Fourth Proportional to 81,718, 122,584.05 and 22,553.67

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Solution

The fourth proportional to 81,718, 122,584.05 and 22,553.67 is: 33,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,718 : 122,584.05 = 22,553.67 : x
  2. Step 2: Convert to fraction form
    81,718/122,584.05 = 22,553.67/x
  3. Step 3: Cross multiply
    81,718x = 122,584.05 × 22,553.67
  4. Step 4: Simplify right side
    81,718x = 2,764,720,210.96
  5. Step 5: Solve for x
    x = 2,764,720,210.96/81,718
  6. Step 6: Final answer
    x = 33,832.45

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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.