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Finding the Fourth Proportional to 251,806.71, 347,481.94 and 137,082.42

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Solution

The fourth proportional to 251,806.71, 347,481.94 and 137,082.42 is: 189,167.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,806.71 : 347,481.94 = 137,082.42 : x
  2. Step 2: Convert to fraction form
    251,806.71/347,481.94 = 137,082.42/x
  3. Step 3: Cross multiply
    251,806.71x = 347,481.94 × 137,082.42
  4. Step 4: Simplify right side
    251,806.71x = 47,633,665,241.49
  5. Step 5: Solve for x
    x = 47,633,665,241.49/251,806.71
  6. Step 6: Final answer
    x = 189,167.58

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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.