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Finding the Fourth Proportional to 84,096.68, 126,120.25 and 31,493.86

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Solution

The fourth proportional to 84,096.68, 126,120.25 and 31,493.86 is: 47,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,096.68 : 126,120.25 = 31,493.86 : x
  2. Step 2: Convert to fraction form
    84,096.68/126,120.25 = 31,493.86/x
  3. Step 3: Cross multiply
    84,096.68x = 126,120.25 × 31,493.86
  4. Step 4: Simplify right side
    84,096.68x = 3,972,013,102.63
  5. Step 5: Solve for x
    x = 3,972,013,102.63/84,096.68
  6. Step 6: Final answer
    x = 47,231.51

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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.