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Finding the Fourth Proportional to 57,677, 79,594.26 and 31,181

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Solution

The fourth proportional to 57,677, 79,594.26 and 31,181 is: 43,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,677 : 79,594.26 = 31,181 : x
  2. Step 2: Convert to fraction form
    57,677/79,594.26 = 31,181/x
  3. Step 3: Cross multiply
    57,677x = 79,594.26 × 31,181
  4. Step 4: Simplify right side
    57,677x = 2,481,828,621.06
  5. Step 5: Solve for x
    x = 2,481,828,621.06/57,677
  6. Step 6: Final answer
    x = 43,029.78

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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.