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Finding the Fourth Proportional to 235,638, 325,177.92 and 140,142.60

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Solution

The fourth proportional to 235,638, 325,177.92 and 140,142.60 is: 193,395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,638 : 325,177.92 = 140,142.60 : x
  2. Step 2: Convert to fraction form
    235,638/325,177.92 = 140,142.60/x
  3. Step 3: Cross multiply
    235,638x = 325,177.92 × 140,142.60
  4. Step 4: Simplify right side
    235,638x = 45,571,279,171.39
  5. Step 5: Solve for x
    x = 45,571,279,171.39/235,638
  6. Step 6: Final answer
    x = 193,395.29

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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.