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Finding the Fourth Proportional to 109,906.85, 164,860.28 and 82,258.85

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Solution

The fourth proportional to 109,906.85, 164,860.28 and 82,258.85 is: 123,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.85 : 164,860.28 = 82,258.85 : x
  2. Step 2: Convert to fraction form
    109,906.85/164,860.28 = 82,258.85/x
  3. Step 3: Cross multiply
    109,906.85x = 164,860.28 × 82,258.85
  4. Step 4: Simplify right side
    109,906.85x = 13,561,216,632.18
  5. Step 5: Solve for x
    x = 13,561,216,632.18/109,906.85
  6. Step 6: Final answer
    x = 123,388.28

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1.5x scale

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.