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Finding the Fourth Proportional to 156,869.46, 216,481.21 and 85,249.46

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Solution

The fourth proportional to 156,869.46, 216,481.21 and 85,249.46 is: 117,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,869.46 : 216,481.21 = 85,249.46 : x
  2. Step 2: Convert to fraction form
    156,869.46/216,481.21 = 85,249.46/x
  3. Step 3: Cross multiply
    156,869.46x = 216,481.21 × 85,249.46
  4. Step 4: Simplify right side
    156,869.46x = 18,454,906,580.73
  5. Step 5: Solve for x
    x = 18,454,906,580.73/156,869.46
  6. Step 6: Final answer
    x = 117,644.99

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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.