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Finding the Fourth Proportional to 120,143.58, 165,793.97 and 65,697.03

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Solution

The fourth proportional to 120,143.58, 165,793.97 and 65,697.03 is: 90,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,143.58 : 165,793.97 = 65,697.03 : x
  2. Step 2: Convert to fraction form
    120,143.58/165,793.97 = 65,697.03/x
  3. Step 3: Cross multiply
    120,143.58x = 165,793.97 × 65,697.03
  4. Step 4: Simplify right side
    120,143.58x = 10,892,171,092.42
  5. Step 5: Solve for x
    x = 10,892,171,092.42/120,143.58
  6. Step 6: Final answer
    x = 90,659.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.