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Finding the Fourth Proportional to 109,921.20, 164,881.80 and 68,449.20

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Solution

The fourth proportional to 109,921.20, 164,881.80 and 68,449.20 is: 102,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,921.20 : 164,881.80 = 68,449.20 : x
  2. Step 2: Convert to fraction form
    109,921.20/164,881.80 = 68,449.20/x
  3. Step 3: Cross multiply
    109,921.20x = 164,881.80 × 68,449.20
  4. Step 4: Simplify right side
    109,921.20x = 11,286,027,304.56
  5. Step 5: Solve for x
    x = 11,286,027,304.56/109,921.20
  6. Step 6: Final answer
    x = 102,673.80

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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.