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Finding the Fourth Proportional to 89,771.76, 123,879.78 and 51,522.48

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Solution

The fourth proportional to 89,771.76, 123,879.78 and 51,522.48 is: 71,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,771.76 : 123,879.78 = 51,522.48 : x
  2. Step 2: Convert to fraction form
    89,771.76/123,879.78 = 51,522.48/x
  3. Step 3: Cross multiply
    89,771.76x = 123,879.78 × 51,522.48
  4. Step 4: Simplify right side
    89,771.76x = 6,382,593,487.45
  5. Step 5: Solve for x
    x = 6,382,593,487.45/89,771.76
  6. Step 6: Final answer
    x = 71,098.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.