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Finding the Fourth Proportional to 57,691.50, 79,614.27 and 31,195.50

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Solution

The fourth proportional to 57,691.50, 79,614.27 and 31,195.50 is: 43,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.50 : 79,614.27 = 31,195.50 : x
  2. Step 2: Convert to fraction form
    57,691.50/79,614.27 = 31,195.50/x
  3. Step 3: Cross multiply
    57,691.50x = 79,614.27 × 31,195.50
  4. Step 4: Simplify right side
    57,691.50x = 2,483,606,959.79
  5. Step 5: Solve for x
    x = 2,483,606,959.79/57,691.50
  6. Step 6: Final answer
    x = 43,049.79

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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.