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Finding the Fourth Proportional to 231,306, 319,202.28 and 125,322

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Solution

The fourth proportional to 231,306, 319,202.28 and 125,322 is: 172,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,306 : 319,202.28 = 125,322 : x
  2. Step 2: Convert to fraction form
    231,306/319,202.28 = 125,322/x
  3. Step 3: Cross multiply
    231,306x = 319,202.28 × 125,322
  4. Step 4: Simplify right side
    231,306x = 40,003,068,134.16
  5. Step 5: Solve for x
    x = 40,003,068,134.16/231,306
  6. Step 6: Final answer
    x = 172,944.36

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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.