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Finding the Fourth Proportional to 57,945, 79,964.10 and 31,449

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Solution

The fourth proportional to 57,945, 79,964.10 and 31,449 is: 43,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,945 : 79,964.10 = 31,449 : x
  2. Step 2: Convert to fraction form
    57,945/79,964.10 = 31,449/x
  3. Step 3: Cross multiply
    57,945x = 79,964.10 × 31,449
  4. Step 4: Simplify right side
    57,945x = 2,514,790,980.90
  5. Step 5: Solve for x
    x = 2,514,790,980.90/57,945
  6. Step 6: Final answer
    x = 43,399.62

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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.