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Finding the Fourth Proportional to 172,352.60, 258,723.30 and 133,083.80

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Solution

The fourth proportional to 172,352.60, 258,723.30 and 133,083.80 is: 199,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,352.60 : 258,723.30 = 133,083.80 : x
  2. Step 2: Convert to fraction form
    172,352.60/258,723.30 = 133,083.80/x
  3. Step 3: Cross multiply
    172,352.60x = 258,723.30 × 133,083.80
  4. Step 4: Simplify right side
    172,352.60x = 34,431,879,912.54
  5. Step 5: Solve for x
    x = 34,431,879,912.54/172,352.60
  6. Step 6: Final answer
    x = 199,775.81

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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.