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Finding the Fourth Proportional to 57,827, 79,801.26 and 31,331

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Solution

The fourth proportional to 57,827, 79,801.26 and 31,331 is: 43,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,827 : 79,801.26 = 31,331 : x
  2. Step 2: Convert to fraction form
    57,827/79,801.26 = 31,331/x
  3. Step 3: Cross multiply
    57,827x = 79,801.26 × 31,331
  4. Step 4: Simplify right side
    57,827x = 2,500,253,277.06
  5. Step 5: Solve for x
    x = 2,500,253,277.06/57,827
  6. Step 6: Final answer
    x = 43,236.78

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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.