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Finding the Fourth Proportional to 110,223.20, 165,043.20 and 86,700.80

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Solution

The fourth proportional to 110,223.20, 165,043.20 and 86,700.80 is: 129,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,223.20 : 165,043.20 = 86,700.80 : x
  2. Step 2: Convert to fraction form
    110,223.20/165,043.20 = 86,700.80/x
  3. Step 3: Cross multiply
    110,223.20x = 165,043.20 × 86,700.80
  4. Step 4: Simplify right side
    110,223.20x = 14,309,377,474.56
  5. Step 5: Solve for x
    x = 14,309,377,474.56/110,223.20
  6. Step 6: Final answer
    x = 129,821.83

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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.