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Finding the Fourth Proportional to 57,691, 79,613.58 and 31,195

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Solution

The fourth proportional to 57,691, 79,613.58 and 31,195 is: 43,049.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691 : 79,613.58 = 31,195 : x
  2. Step 2: Convert to fraction form
    57,691/79,613.58 = 31,195/x
  3. Step 3: Cross multiply
    57,691x = 79,613.58 × 31,195
  4. Step 4: Simplify right side
    57,691x = 2,483,545,628.10
  5. Step 5: Solve for x
    x = 2,483,545,628.10/57,691
  6. Step 6: Final answer
    x = 43,049.10

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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.