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Finding the Fourth Proportional to 109,871.92, 164,806.66 and 83,380.64

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Solution

The fourth proportional to 109,871.92, 164,806.66 and 83,380.64 is: 125,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.92 : 164,806.66 = 83,380.64 : x
  2. Step 2: Convert to fraction form
    109,871.92/164,806.66 = 83,380.64/x
  3. Step 3: Cross multiply
    109,871.92x = 164,806.66 × 83,380.64
  4. Step 4: Simplify right side
    109,871.92x = 13,741,684,787.06
  5. Step 5: Solve for x
    x = 13,741,684,787.06/109,871.92
  6. Step 6: Final answer
    x = 125,070.03

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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.