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Finding the Fourth Proportional to 220,120.80, 330,181.20 and 102,022.80

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Solution

The fourth proportional to 220,120.80, 330,181.20 and 102,022.80 is: 153,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,120.80 : 330,181.20 = 102,022.80 : x
  2. Step 2: Convert to fraction form
    220,120.80/330,181.20 = 102,022.80/x
  3. Step 3: Cross multiply
    220,120.80x = 330,181.20 × 102,022.80
  4. Step 4: Simplify right side
    220,120.80x = 33,686,010,531.36
  5. Step 5: Solve for x
    x = 33,686,010,531.36/220,120.80
  6. Step 6: Final answer
    x = 153,034.20

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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.