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Finding the Fourth Proportional to 57,675, 79,591.50 and 31,179

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Solution

The fourth proportional to 57,675, 79,591.50 and 31,179 is: 43,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,675 : 79,591.50 = 31,179 : x
  2. Step 2: Convert to fraction form
    57,675/79,591.50 = 31,179/x
  3. Step 3: Cross multiply
    57,675x = 79,591.50 × 31,179
  4. Step 4: Simplify right side
    57,675x = 2,481,583,378.50
  5. Step 5: Solve for x
    x = 2,481,583,378.50/57,675
  6. Step 6: Final answer
    x = 43,027.02

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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.