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Finding the Fourth Proportional to 138,028.95, 206,959.81 and 90,033.42

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Solution

The fourth proportional to 138,028.95, 206,959.81 and 90,033.42 is: 134,995.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,028.95 : 206,959.81 = 90,033.42 : x
  2. Step 2: Convert to fraction form
    138,028.95/206,959.81 = 90,033.42/x
  3. Step 3: Cross multiply
    138,028.95x = 206,959.81 × 90,033.42
  4. Step 4: Simplify right side
    138,028.95x = 18,633,299,496.85
  5. Step 5: Solve for x
    x = 18,633,299,496.85/138,028.95
  6. Step 6: Final answer
    x = 134,995.59

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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.