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Finding the Fourth Proportional to 110,320.60, 165,310.80 and 82,108.30

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Solution

The fourth proportional to 110,320.60, 165,310.80 and 82,108.30 is: 123,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,320.60 : 165,310.80 = 82,108.30 : x
  2. Step 2: Convert to fraction form
    110,320.60/165,310.80 = 82,108.30/x
  3. Step 3: Cross multiply
    110,320.60x = 165,310.80 × 82,108.30
  4. Step 4: Simplify right side
    110,320.60x = 13,573,388,759.64
  5. Step 5: Solve for x
    x = 13,573,388,759.64/110,320.60
  6. Step 6: Final answer
    x = 123,035.85

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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.