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Finding the Fourth Proportional to 252,553.96, 378,765.42 and 75,020.68

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Solution

The fourth proportional to 252,553.96, 378,765.42 and 75,020.68 is: 112,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,553.96 : 378,765.42 = 75,020.68 : x
  2. Step 2: Convert to fraction form
    252,553.96/378,765.42 = 75,020.68/x
  3. Step 3: Cross multiply
    252,553.96x = 378,765.42 × 75,020.68
  4. Step 4: Simplify right side
    252,553.96x = 28,415,239,368.89
  5. Step 5: Solve for x
    x = 28,415,239,368.89/252,553.96
  6. Step 6: Final answer
    x = 112,511.56

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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.