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Finding the Fourth Proportional to 217,404.70, 326,107.05 and 77,145.10

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Solution

The fourth proportional to 217,404.70, 326,107.05 and 77,145.10 is: 115,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,404.70 : 326,107.05 = 77,145.10 : x
  2. Step 2: Convert to fraction form
    217,404.70/326,107.05 = 77,145.10/x
  3. Step 3: Cross multiply
    217,404.70x = 326,107.05 × 77,145.10
  4. Step 4: Simplify right side
    217,404.70x = 25,157,560,982.96
  5. Step 5: Solve for x
    x = 25,157,560,982.96/217,404.70
  6. Step 6: Final answer
    x = 115,717.65

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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.