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Finding the Fourth Proportional to 84,490.80, 126,736.20 and 76,714.80

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Solution

The fourth proportional to 84,490.80, 126,736.20 and 76,714.80 is: 115,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490.80 : 126,736.20 = 76,714.80 : x
  2. Step 2: Convert to fraction form
    84,490.80/126,736.20 = 76,714.80/x
  3. Step 3: Cross multiply
    84,490.80x = 126,736.20 × 76,714.80
  4. Step 4: Simplify right side
    84,490.80x = 9,722,542,235.76
  5. Step 5: Solve for x
    x = 9,722,542,235.76/84,490.80
  6. Step 6: Final answer
    x = 115,072.20

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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.