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Finding the Fourth Proportional to 217,744.26, 326,613.50 and 105,434.52

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Solution

The fourth proportional to 217,744.26, 326,613.50 and 105,434.52 is: 158,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,744.26 : 326,613.50 = 105,434.52 : x
  2. Step 2: Convert to fraction form
    217,744.26/326,613.50 = 105,434.52/x
  3. Step 3: Cross multiply
    217,744.26x = 326,613.50 × 105,434.52
  4. Step 4: Simplify right side
    217,744.26x = 34,436,337,070.85
  5. Step 5: Solve for x
    x = 34,436,337,070.85/217,744.26
  6. Step 6: Final answer
    x = 158,150.38

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