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Finding the Fourth Proportional to 57,950, 79,971 and 31,454

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Solution

The fourth proportional to 57,950, 79,971 and 31,454 is: 43,406.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,950 : 79,971 = 31,454 : x
  2. Step 2: Convert to fraction form
    57,950/79,971 = 31,454/x
  3. Step 3: Cross multiply
    57,950x = 79,971 × 31,454
  4. Step 4: Simplify right side
    57,950x = 2,515,407,834
  5. Step 5: Solve for x
    x = 2,515,407,834/57,950
  6. Step 6: Final answer
    x = 43,406.52

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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.