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Finding the Fourth Proportional to 57,939, 79,955.82 and 31,443

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Solution

The fourth proportional to 57,939, 79,955.82 and 31,443 is: 43,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,939 : 79,955.82 = 31,443 : x
  2. Step 2: Convert to fraction form
    57,939/79,955.82 = 31,443/x
  3. Step 3: Cross multiply
    57,939x = 79,955.82 × 31,443
  4. Step 4: Simplify right side
    57,939x = 2,514,050,848.26
  5. Step 5: Solve for x
    x = 2,514,050,848.26/57,939
  6. Step 6: Final answer
    x = 43,391.34

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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.