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Finding the Fourth Proportional to 84,615.54, 126,789.78 and 31,234.04

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Solution

The fourth proportional to 84,615.54, 126,789.78 and 31,234.04 is: 46,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615.54 : 126,789.78 = 31,234.04 : x
  2. Step 2: Convert to fraction form
    84,615.54/126,789.78 = 31,234.04/x
  3. Step 3: Cross multiply
    84,615.54x = 126,789.78 × 31,234.04
  4. Step 4: Simplify right side
    84,615.54x = 3,960,156,426.16
  5. Step 5: Solve for x
    x = 3,960,156,426.16/84,615.54
  6. Step 6: Final answer
    x = 46,801.76

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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.