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Finding the Fourth Proportional to 110,206.80, 165,310.20 and 82,213.20

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Solution

The fourth proportional to 110,206.80, 165,310.20 and 82,213.20 is: 123,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.80 : 165,310.20 = 82,213.20 : x
  2. Step 2: Convert to fraction form
    110,206.80/165,310.20 = 82,213.20/x
  3. Step 3: Cross multiply
    110,206.80x = 165,310.20 × 82,213.20
  4. Step 4: Simplify right side
    110,206.80x = 13,590,680,534.64
  5. Step 5: Solve for x
    x = 13,590,680,534.64/110,206.80
  6. Step 6: Final answer
    x = 123,319.80

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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.