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Finding the Fourth Proportional to 109,871.10, 164,806.65 and 108,704.70

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Solution

The fourth proportional to 109,871.10, 164,806.65 and 108,704.70 is: 163,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,871.10 : 164,806.65 = 108,704.70 : x
  2. Step 2: Convert to fraction form
    109,871.10/164,806.65 = 108,704.70/x
  3. Step 3: Cross multiply
    109,871.10x = 164,806.65 × 108,704.70
  4. Step 4: Simplify right side
    109,871.10x = 17,915,257,446.26
  5. Step 5: Solve for x
    x = 17,915,257,446.26/109,871.10
  6. Step 6: Final answer
    x = 163,057.05

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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.