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Finding the Fourth Proportional to 235,138.47, 324,542.21 and 144,571.97

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Solution

The fourth proportional to 235,138.47, 324,542.21 and 144,571.97 is: 199,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,138.47 : 324,542.21 = 144,571.97 : x
  2. Step 2: Convert to fraction form
    235,138.47/324,542.21 = 144,571.97/x
  3. Step 3: Cross multiply
    235,138.47x = 324,542.21 × 144,571.97
  4. Step 4: Simplify right side
    235,138.47x = 46,919,704,302.28
  5. Step 5: Solve for x
    x = 46,919,704,302.28/235,138.47
  6. Step 6: Final answer
    x = 199,540.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.