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Finding the Fourth Proportional to 189,265.56, 261,192.32 and 108,709.26

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Solution

The fourth proportional to 189,265.56, 261,192.32 and 108,709.26 is: 150,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,265.56 : 261,192.32 = 108,709.26 : x
  2. Step 2: Convert to fraction form
    189,265.56/261,192.32 = 108,709.26/x
  3. Step 3: Cross multiply
    189,265.56x = 261,192.32 × 108,709.26
  4. Step 4: Simplify right side
    189,265.56x = 28,394,023,824.88
  5. Step 5: Solve for x
    x = 28,394,023,824.88/189,265.56
  6. Step 6: Final answer
    x = 150,022.14

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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.