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Finding the Fourth Proportional to 57,279.96, 79,046.84 and 31,788.05

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Solution

The fourth proportional to 57,279.96, 79,046.84 and 31,788.05 is: 43,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,279.96 : 79,046.84 = 31,788.05 : x
  2. Step 2: Convert to fraction form
    57,279.96/79,046.84 = 31,788.05/x
  3. Step 3: Cross multiply
    57,279.96x = 79,046.84 × 31,788.05
  4. Step 4: Simplify right side
    57,279.96x = 2,512,744,407.69
  5. Step 5: Solve for x
    x = 2,512,744,407.69/57,279.96
  6. Step 6: Final answer
    x = 43,867.78

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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.