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Finding the Fourth Proportional to 172,081, 258,131.22 and 61,273

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Solution

The fourth proportional to 172,081, 258,131.22 and 61,273 is: 91,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,081 : 258,131.22 = 61,273 : x
  2. Step 2: Convert to fraction form
    172,081/258,131.22 = 61,273/x
  3. Step 3: Cross multiply
    172,081x = 258,131.22 × 61,273
  4. Step 4: Simplify right side
    172,081x = 15,816,474,243.06
  5. Step 5: Solve for x
    x = 15,816,474,243.06/172,081
  6. Step 6: Final answer
    x = 91,912.96

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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.