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Finding the Fourth Proportional to 231,219, 319,082.22 and 125,235

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Solution

The fourth proportional to 231,219, 319,082.22 and 125,235 is: 172,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,219 : 319,082.22 = 125,235 : x
  2. Step 2: Convert to fraction form
    231,219/319,082.22 = 125,235/x
  3. Step 3: Cross multiply
    231,219x = 319,082.22 × 125,235
  4. Step 4: Simplify right side
    231,219x = 39,960,261,821.70
  5. Step 5: Solve for x
    x = 39,960,261,821.70/231,219
  6. Step 6: Final answer
    x = 172,824.30

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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.