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Finding the Fourth Proportional to 156,906.73, 216,530.01 and 85,286.53

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Solution

The fourth proportional to 156,906.73, 216,530.01 and 85,286.53 is: 117,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,906.73 : 216,530.01 = 85,286.53 : x
  2. Step 2: Convert to fraction form
    156,906.73/216,530.01 = 85,286.53/x
  3. Step 3: Cross multiply
    156,906.73x = 216,530.01 × 85,286.53
  4. Step 4: Simplify right side
    156,906.73x = 18,467,093,193.77
  5. Step 5: Solve for x
    x = 18,467,093,193.77/156,906.73
  6. Step 6: Final answer
    x = 117,694.72

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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.