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Finding the Fourth Proportional to 217,578.96, 326,384.25 and 91,092

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Solution

The fourth proportional to 217,578.96, 326,384.25 and 91,092 is: 136,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,578.96 : 326,384.25 = 91,092 : x
  2. Step 2: Convert to fraction form
    217,578.96/326,384.25 = 91,092/x
  3. Step 3: Cross multiply
    217,578.96x = 326,384.25 × 91,092
  4. Step 4: Simplify right side
    217,578.96x = 29,730,994,101
  5. Step 5: Solve for x
    x = 29,730,994,101/217,578.96
  6. Step 6: Final answer
    x = 136,644.62

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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.