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Finding the Fourth Proportional to 180,218.54, 270,151.26 and 100,294.64

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Solution

The fourth proportional to 180,218.54, 270,151.26 and 100,294.64 is: 150,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,218.54 : 270,151.26 = 100,294.64 : x
  2. Step 2: Convert to fraction form
    180,218.54/270,151.26 = 100,294.64/x
  3. Step 3: Cross multiply
    180,218.54x = 270,151.26 × 100,294.64
  4. Step 4: Simplify right side
    180,218.54x = 27,094,723,367.25
  5. Step 5: Solve for x
    x = 27,094,723,367.25/180,218.54
  6. Step 6: Final answer
    x = 150,343.71

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1.5x scale

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.