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Finding the Fourth Proportional to 156,194.92, 215,448.42 and 120,321.64

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Solution

The fourth proportional to 156,194.92, 215,448.42 and 120,321.64 is: 165,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,194.92 : 215,448.42 = 120,321.64 : x
  2. Step 2: Convert to fraction form
    156,194.92/215,448.42 = 120,321.64/x
  3. Step 3: Cross multiply
    156,194.92x = 215,448.42 × 120,321.64
  4. Step 4: Simplify right side
    156,194.92x = 25,923,107,229.81
  5. Step 5: Solve for x
    x = 25,923,107,229.81/156,194.92
  6. Step 6: Final answer
    x = 165,966.39

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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.