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Finding the Fourth Proportional to 156,211.92, 215,571.24 and 84,591.72

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Solution

The fourth proportional to 156,211.92, 215,571.24 and 84,591.72 is: 116,735.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,211.92 : 215,571.24 = 84,591.72 : x
  2. Step 2: Convert to fraction form
    156,211.92/215,571.24 = 84,591.72/x
  3. Step 3: Cross multiply
    156,211.92x = 215,571.24 × 84,591.72
  4. Step 4: Simplify right side
    156,211.92x = 18,235,541,974.13
  5. Step 5: Solve for x
    x = 18,235,541,974.13/156,211.92
  6. Step 6: Final answer
    x = 116,735.92

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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.