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Finding the Fourth Proportional to 109,752.80, 164,629.20 and 82,104.80

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Solution

The fourth proportional to 109,752.80, 164,629.20 and 82,104.80 is: 123,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,752.80 : 164,629.20 = 82,104.80 : x
  2. Step 2: Convert to fraction form
    109,752.80/164,629.20 = 82,104.80/x
  3. Step 3: Cross multiply
    109,752.80x = 164,629.20 × 82,104.80
  4. Step 4: Simplify right side
    109,752.80x = 13,516,847,540.16
  5. Step 5: Solve for x
    x = 13,516,847,540.16/109,752.80
  6. Step 6: Final answer
    x = 123,157.20

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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.