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Finding the Fourth Proportional to 100,736.80, 151,221.60 and 54,080.80

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Solution

The fourth proportional to 100,736.80, 151,221.60 and 54,080.80 is: 81,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,736.80 : 151,221.60 = 54,080.80 : x
  2. Step 2: Convert to fraction form
    100,736.80/151,221.60 = 54,080.80/x
  3. Step 3: Cross multiply
    100,736.80x = 151,221.60 × 54,080.80
  4. Step 4: Simplify right side
    100,736.80x = 8,178,185,105.28
  5. Step 5: Solve for x
    x = 8,178,185,105.28/100,736.80
  6. Step 6: Final answer
    x = 81,183.69

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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.