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Finding the Fourth Proportional to 235,745.28, 325,344 and 135,144.96

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Solution

The fourth proportional to 235,745.28, 325,344 and 135,144.96 is: 186,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,745.28 : 325,344 = 135,144.96 : x
  2. Step 2: Convert to fraction form
    235,745.28/325,344 = 135,144.96/x
  3. Step 3: Cross multiply
    235,745.28x = 325,344 × 135,144.96
  4. Step 4: Simplify right side
    235,745.28x = 43,968,601,866.24
  5. Step 5: Solve for x
    x = 43,968,601,866.24/235,745.28
  6. Step 6: Final answer
    x = 186,508.94

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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.