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Finding the Fourth Proportional to 84,610.97, 126,782.93 and 31,229.47

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Solution

The fourth proportional to 84,610.97, 126,782.93 and 31,229.47 is: 46,794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,610.97 : 126,782.93 = 31,229.47 : x
  2. Step 2: Convert to fraction form
    84,610.97/126,782.93 = 31,229.47/x
  3. Step 3: Cross multiply
    84,610.97x = 126,782.93 × 31,229.47
  4. Step 4: Simplify right side
    84,610.97x = 3,959,363,708.95
  5. Step 5: Solve for x
    x = 3,959,363,708.95/84,610.97
  6. Step 6: Final answer
    x = 46,794.92

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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.