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Finding the Fourth Proportional to 132,224.25, 198,336.39 and 33,728.25

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Solution

The fourth proportional to 132,224.25, 198,336.39 and 33,728.25 is: 50,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224.25 : 198,336.39 = 33,728.25 : x
  2. Step 2: Convert to fraction form
    132,224.25/198,336.39 = 33,728.25/x
  3. Step 3: Cross multiply
    132,224.25x = 198,336.39 × 33,728.25
  4. Step 4: Simplify right side
    132,224.25x = 6,689,539,346.02
  5. Step 5: Solve for x
    x = 6,689,539,346.02/132,224.25
  6. Step 6: Final answer
    x = 50,592.38

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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.