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Finding the Fourth Proportional to 135,644, 187,188.72 and 82,652

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Solution

The fourth proportional to 135,644, 187,188.72 and 82,652 is: 114,059.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644 : 187,188.72 = 82,652 : x
  2. Step 2: Convert to fraction form
    135,644/187,188.72 = 82,652/x
  3. Step 3: Cross multiply
    135,644x = 187,188.72 × 82,652
  4. Step 4: Simplify right side
    135,644x = 15,471,522,085.44
  5. Step 5: Solve for x
    x = 15,471,522,085.44/135,644
  6. Step 6: Final answer
    x = 114,059.76

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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.