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Finding the Fourth Proportional to 226,589.68, 312,732.90 and 131,149

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Solution

The fourth proportional to 226,589.68, 312,732.90 and 131,149 is: 181,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,589.68 : 312,732.90 = 131,149 : x
  2. Step 2: Convert to fraction form
    226,589.68/312,732.90 = 131,149/x
  3. Step 3: Cross multiply
    226,589.68x = 312,732.90 × 131,149
  4. Step 4: Simplify right side
    226,589.68x = 41,014,607,102.10
  5. Step 5: Solve for x
    x = 41,014,607,102.10/226,589.68
  6. Step 6: Final answer
    x = 181,008.27

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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.