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Finding the Fourth Proportional to 252,357.75, 378,608.12 and 102,705.44

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Solution

The fourth proportional to 252,357.75, 378,608.12 and 102,705.44 is: 154,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,357.75 : 378,608.12 = 102,705.44 : x
  2. Step 2: Convert to fraction form
    252,357.75/378,608.12 = 102,705.44/x
  3. Step 3: Cross multiply
    252,357.75x = 378,608.12 × 102,705.44
  4. Step 4: Simplify right side
    252,357.75x = 38,885,115,302.97
  5. Step 5: Solve for x
    x = 38,885,115,302.97/252,357.75
  6. Step 6: Final answer
    x = 154,087.26

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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.