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Finding the Fourth Proportional to 217,396.31, 326,116.80 and 75,241.31

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Solution

The fourth proportional to 217,396.31, 326,116.80 and 75,241.31 is: 112,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,396.31 : 326,116.80 = 75,241.31 : x
  2. Step 2: Convert to fraction form
    217,396.31/326,116.80 = 75,241.31/x
  3. Step 3: Cross multiply
    217,396.31x = 326,116.80 × 75,241.31
  4. Step 4: Simplify right side
    217,396.31x = 24,537,453,614.42
  5. Step 5: Solve for x
    x = 24,537,453,614.42/217,396.31
  6. Step 6: Final answer
    x = 112,869.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.