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Finding the Fourth Proportional to 84,203.96, 126,268.89 and 31,576.54

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Solution

The fourth proportional to 84,203.96, 126,268.89 and 31,576.54 is: 47,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,203.96 : 126,268.89 = 31,576.54 : x
  2. Step 2: Convert to fraction form
    84,203.96/126,268.89 = 31,576.54/x
  3. Step 3: Cross multiply
    84,203.96x = 126,268.89 × 31,576.54
  4. Step 4: Simplify right side
    84,203.96x = 3,987,134,858.05
  5. Step 5: Solve for x
    x = 3,987,134,858.05/84,203.96
  6. Step 6: Final answer
    x = 47,350.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.