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Finding the Fourth Proportional to 100,682.82, 138,943.92 and 55,362.78

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Solution

The fourth proportional to 100,682.82, 138,943.92 and 55,362.78 is: 76,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,682.82 : 138,943.92 = 55,362.78 : x
  2. Step 2: Convert to fraction form
    100,682.82/138,943.92 = 55,362.78/x
  3. Step 3: Cross multiply
    100,682.82x = 138,943.92 × 55,362.78
  4. Step 4: Simplify right side
    100,682.82x = 7,692,321,675.30
  5. Step 5: Solve for x
    x = 7,692,321,675.30/100,682.82
  6. Step 6: Final answer
    x = 76,401.53

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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.