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Finding the Fourth Proportional to 235,815.44, 325,388.64 and 135,194

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Solution

The fourth proportional to 235,815.44, 325,388.64 and 135,194 is: 186,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,815.44 : 325,388.64 = 135,194 : x
  2. Step 2: Convert to fraction form
    235,815.44/325,388.64 = 135,194/x
  3. Step 3: Cross multiply
    235,815.44x = 325,388.64 × 135,194
  4. Step 4: Simplify right side
    235,815.44x = 43,990,591,796.16
  5. Step 5: Solve for x
    x = 43,990,591,796.16/235,815.44
  6. Step 6: Final answer
    x = 186,546.70

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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.