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Finding the Fourth Proportional to 135,538, 187,042.44 and 75,922

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Solution

The fourth proportional to 135,538, 187,042.44 and 75,922 is: 104,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,538 : 187,042.44 = 75,922 : x
  2. Step 2: Convert to fraction form
    135,538/187,042.44 = 75,922/x
  3. Step 3: Cross multiply
    135,538x = 187,042.44 × 75,922
  4. Step 4: Simplify right side
    135,538x = 14,200,636,129.68
  5. Step 5: Solve for x
    x = 14,200,636,129.68/135,538
  6. Step 6: Final answer
    x = 104,772.36

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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.