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Finding the Fourth Proportional to 57,867, 79,856.94 and 31,371

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Solution

The fourth proportional to 57,867, 79,856.94 and 31,371 is: 43,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867 : 79,856.94 = 31,371 : x
  2. Step 2: Convert to fraction form
    57,867/79,856.94 = 31,371/x
  3. Step 3: Cross multiply
    57,867x = 79,856.94 × 31,371
  4. Step 4: Simplify right side
    57,867x = 2,505,192,064.74
  5. Step 5: Solve for x
    x = 2,505,192,064.74/57,867
  6. Step 6: Final answer
    x = 43,292.24

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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.