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Finding the Fourth Proportional to 252,071.31, 378,163.04 and 109,939.58

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Solution

The fourth proportional to 252,071.31, 378,163.04 and 109,939.58 is: 164,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,071.31 : 378,163.04 = 109,939.58 : x
  2. Step 2: Convert to fraction form
    252,071.31/378,163.04 = 109,939.58/x
  3. Step 3: Cross multiply
    252,071.31x = 378,163.04 × 109,939.58
  4. Step 4: Simplify right side
    252,071.31x = 41,575,083,348.61
  5. Step 5: Solve for x
    x = 41,575,083,348.61/252,071.31
  6. Step 6: Final answer
    x = 164,933.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.