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Finding the Fourth Proportional to 89,279, 133,919.26 and 22,719.20

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Solution

The fourth proportional to 89,279, 133,919.26 and 22,719.20 is: 34,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,279 : 133,919.26 = 22,719.20 : x
  2. Step 2: Convert to fraction form
    89,279/133,919.26 = 22,719.20/x
  3. Step 3: Cross multiply
    89,279x = 133,919.26 × 22,719.20
  4. Step 4: Simplify right side
    89,279x = 3,042,538,451.79
  5. Step 5: Solve for x
    x = 3,042,538,451.79/89,279
  6. Step 6: Final answer
    x = 34,078.99

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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.