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Finding the Fourth Proportional to 109,760.80, 164,723.04 and 74,137.84

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Solution

The fourth proportional to 109,760.80, 164,723.04 and 74,137.84 is: 111,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,760.80 : 164,723.04 = 74,137.84 : x
  2. Step 2: Convert to fraction form
    109,760.80/164,723.04 = 74,137.84/x
  3. Step 3: Cross multiply
    109,760.80x = 164,723.04 × 74,137.84
  4. Step 4: Simplify right side
    109,760.80x = 12,212,210,383.83
  5. Step 5: Solve for x
    x = 12,212,210,383.83/109,760.80
  6. Step 6: Final answer
    x = 111,262.04

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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.