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Finding the Fourth Proportional to 100,747.20, 151,120.80 and 54,091.20

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Solution

The fourth proportional to 100,747.20, 151,120.80 and 54,091.20 is: 81,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,747.20 : 151,120.80 = 54,091.20 : x
  2. Step 2: Convert to fraction form
    100,747.20/151,120.80 = 54,091.20/x
  3. Step 3: Cross multiply
    100,747.20x = 151,120.80 × 54,091.20
  4. Step 4: Simplify right side
    100,747.20x = 8,174,305,416.96
  5. Step 5: Solve for x
    x = 8,174,305,416.96/100,747.20
  6. Step 6: Final answer
    x = 81,136.80

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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.