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Finding the Fourth Proportional to 126,129, 189,194.31 and 32,635.56

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Solution

The fourth proportional to 126,129, 189,194.31 and 32,635.56 is: 48,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,129 : 189,194.31 = 32,635.56 : x
  2. Step 2: Convert to fraction form
    126,129/189,194.31 = 32,635.56/x
  3. Step 3: Cross multiply
    126,129x = 189,194.31 × 32,635.56
  4. Step 4: Simplify right side
    126,129x = 6,174,462,255.66
  5. Step 5: Solve for x
    x = 6,174,462,255.66/126,129
  6. Step 6: Final answer
    x = 48,953.55

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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.