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Finding the Fourth Proportional to 138,871.96, 191,662.38 and 85,147.48

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Solution

The fourth proportional to 138,871.96, 191,662.38 and 85,147.48 is: 117,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,871.96 : 191,662.38 = 85,147.48 : x
  2. Step 2: Convert to fraction form
    138,871.96/191,662.38 = 85,147.48/x
  3. Step 3: Cross multiply
    138,871.96x = 191,662.38 × 85,147.48
  4. Step 4: Simplify right side
    138,871.96x = 16,319,568,667.80
  5. Step 5: Solve for x
    x = 16,319,568,667.80/138,871.96
  6. Step 6: Final answer
    x = 117,515.22

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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.