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Finding the Fourth Proportional to 217,563.76, 326,439.20 and 117,795.25

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Solution

The fourth proportional to 217,563.76, 326,439.20 and 117,795.25 is: 176,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,563.76 : 326,439.20 = 117,795.25 : x
  2. Step 2: Convert to fraction form
    217,563.76/326,439.20 = 117,795.25/x
  3. Step 3: Cross multiply
    217,563.76x = 326,439.20 × 117,795.25
  4. Step 4: Simplify right side
    217,563.76x = 38,452,987,173.80
  5. Step 5: Solve for x
    x = 38,452,987,173.80/217,563.76
  6. Step 6: Final answer
    x = 176,743.53

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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.