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Finding the Fourth Proportional to 156,906.85, 216,532.76 and 85,286.86

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Solution

The fourth proportional to 156,906.85, 216,532.76 and 85,286.86 is: 117,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906.85 : 216,532.76 = 85,286.86 : x
  2. Step 2: Convert to fraction form
    156,906.85/216,532.76 = 85,286.86/x
  3. Step 3: Cross multiply
    156,906.85x = 216,532.76 × 85,286.86
  4. Step 4: Simplify right side
    156,906.85x = 18,467,399,187.53
  5. Step 5: Solve for x
    x = 18,467,399,187.53/156,906.85
  6. Step 6: Final answer
    x = 117,696.58

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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.