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Finding the Fourth Proportional to 231,702, 319,753.62 and 131,100

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Solution

The fourth proportional to 231,702, 319,753.62 and 131,100 is: 180,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,702 : 319,753.62 = 131,100 : x
  2. Step 2: Convert to fraction form
    231,702/319,753.62 = 131,100/x
  3. Step 3: Cross multiply
    231,702x = 319,753.62 × 131,100
  4. Step 4: Simplify right side
    231,702x = 41,919,699,582
  5. Step 5: Solve for x
    x = 41,919,699,582/231,702
  6. Step 6: Final answer
    x = 180,920.75

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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.