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Finding the Fourth Proportional to 231,310.87, 319,085.87 and 140,694.55

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Solution

The fourth proportional to 231,310.87, 319,085.87 and 140,694.55 is: 194,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,310.87 : 319,085.87 = 140,694.55 : x
  2. Step 2: Convert to fraction form
    231,310.87/319,085.87 = 140,694.55/x
  3. Step 3: Cross multiply
    231,310.87x = 319,085.87 × 140,694.55
  4. Step 4: Simplify right side
    231,310.87x = 44,893,642,891.01
  5. Step 5: Solve for x
    x = 44,893,642,891.01/231,310.87
  6. Step 6: Final answer
    x = 194,083.58

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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.