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Finding the Fourth Proportional to 108,691.92, 162,797 and 83,546.80

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Solution

The fourth proportional to 108,691.92, 162,797 and 83,546.80 is: 125,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,691.92 : 162,797 = 83,546.80 : x
  2. Step 2: Convert to fraction form
    108,691.92/162,797 = 83,546.80/x
  3. Step 3: Cross multiply
    108,691.92x = 162,797 × 83,546.80
  4. Step 4: Simplify right side
    108,691.92x = 13,601,168,399.60
  5. Step 5: Solve for x
    x = 13,601,168,399.60/108,691.92
  6. Step 6: Final answer
    x = 125,135.05

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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.