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Finding the Fourth Proportional to 181,839.80, 272,111.70 and 115,311.80

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Solution

The fourth proportional to 181,839.80, 272,111.70 and 115,311.80 is: 172,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,839.80 : 272,111.70 = 115,311.80 : x
  2. Step 2: Convert to fraction form
    181,839.80/272,111.70 = 115,311.80/x
  3. Step 3: Cross multiply
    181,839.80x = 272,111.70 × 115,311.80
  4. Step 4: Simplify right side
    181,839.80x = 31,377,689,928.06
  5. Step 5: Solve for x
    x = 31,377,689,928.06/181,839.80
  6. Step 6: Final answer
    x = 172,556.78

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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.