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Finding the Fourth Proportional to 81,428.72, 122,144.77 and 22,264.03

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Solution

The fourth proportional to 81,428.72, 122,144.77 and 22,264.03 is: 33,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,428.72 : 122,144.77 = 22,264.03 : x
  2. Step 2: Convert to fraction form
    81,428.72/122,144.77 = 22,264.03/x
  3. Step 3: Cross multiply
    81,428.72x = 122,144.77 × 22,264.03
  4. Step 4: Simplify right side
    81,428.72x = 2,719,434,823.62
  5. Step 5: Solve for x
    x = 2,719,434,823.62/81,428.72
  6. Step 6: Final answer
    x = 33,396.51

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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.