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Finding the Fourth Proportional to 57,944, 79,963.68 and 31,448

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Solution

The fourth proportional to 57,944, 79,963.68 and 31,448 is: 43,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,944 : 79,963.68 = 31,448 : x
  2. Step 2: Convert to fraction form
    57,944/79,963.68 = 31,448/x
  3. Step 3: Cross multiply
    57,944x = 79,963.68 × 31,448
  4. Step 4: Simplify right side
    57,944x = 2,514,697,808.64
  5. Step 5: Solve for x
    x = 2,514,697,808.64/57,944
  6. Step 6: Final answer
    x = 43,398.76

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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.