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Finding the Fourth Proportional to 217,812.80, 326,735.40 and 77,553.20

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Solution

The fourth proportional to 217,812.80, 326,735.40 and 77,553.20 is: 116,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,812.80 : 326,735.40 = 77,553.20 : x
  2. Step 2: Convert to fraction form
    217,812.80/326,735.40 = 77,553.20/x
  3. Step 3: Cross multiply
    217,812.80x = 326,735.40 × 77,553.20
  4. Step 4: Simplify right side
    217,812.80x = 25,339,375,823.28
  5. Step 5: Solve for x
    x = 25,339,375,823.28/217,812.80
  6. Step 6: Final answer
    x = 116,335.57

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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.