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Finding the Fourth Proportional to 87,876, 121,268.80 and 47,589.76

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Solution

The fourth proportional to 87,876, 121,268.80 and 47,589.76 is: 65,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,876 : 121,268.80 = 47,589.76 : x
  2. Step 2: Convert to fraction form
    87,876/121,268.80 = 47,589.76/x
  3. Step 3: Cross multiply
    87,876x = 121,268.80 × 47,589.76
  4. Step 4: Simplify right side
    87,876x = 5,771,153,087.49
  5. Step 5: Solve for x
    x = 5,771,153,087.49/87,876
  6. Step 6: Final answer
    x = 65,673.83

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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.