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Finding the Fourth Proportional to 231,771.87, 319,837.70 and 128,401.81

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Solution

The fourth proportional to 231,771.87, 319,837.70 and 128,401.81 is: 177,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,771.87 : 319,837.70 = 128,401.81 : x
  2. Step 2: Convert to fraction form
    231,771.87/319,837.70 = 128,401.81/x
  3. Step 3: Cross multiply
    231,771.87x = 319,837.70 × 128,401.81
  4. Step 4: Simplify right side
    231,771.87x = 41,067,737,805.91
  5. Step 5: Solve for x
    x = 41,067,737,805.91/231,771.87
  6. Step 6: Final answer
    x = 177,190.35

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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.