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Finding the Fourth Proportional to 217,786.22, 326,691.63 and 77,544.84

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Solution

The fourth proportional to 217,786.22, 326,691.63 and 77,544.84 is: 116,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,786.22 : 326,691.63 = 77,544.84 : x
  2. Step 2: Convert to fraction form
    217,786.22/326,691.63 = 77,544.84/x
  3. Step 3: Cross multiply
    217,786.22x = 326,691.63 × 77,544.84
  4. Step 4: Simplify right side
    217,786.22x = 25,333,251,402.78
  5. Step 5: Solve for x
    x = 25,333,251,402.78/217,786.22
  6. Step 6: Final answer
    x = 116,321.65

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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.