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Finding the Fourth Proportional to 172,691.50, 259,025.36 and 106,141.90

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Solution

The fourth proportional to 172,691.50, 259,025.36 and 106,141.90 is: 159,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,691.50 : 259,025.36 = 106,141.90 : x
  2. Step 2: Convert to fraction form
    172,691.50/259,025.36 = 106,141.90/x
  3. Step 3: Cross multiply
    172,691.50x = 259,025.36 × 106,141.90
  4. Step 4: Simplify right side
    172,691.50x = 27,493,443,858.58
  5. Step 5: Solve for x
    x = 27,493,443,858.58/172,691.50
  6. Step 6: Final answer
    x = 159,205.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.