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Finding the Fourth Proportional to 149,104.49, 205,480.74 and 106,589.21

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Solution

The fourth proportional to 149,104.49, 205,480.74 and 106,589.21 is: 146,890.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,104.49 : 205,480.74 = 106,589.21 : x
  2. Step 2: Convert to fraction form
    149,104.49/205,480.74 = 106,589.21/x
  3. Step 3: Cross multiply
    149,104.49x = 205,480.74 × 106,589.21
  4. Step 4: Simplify right side
    149,104.49x = 21,902,028,719.41
  5. Step 5: Solve for x
    x = 21,902,028,719.41/149,104.49
  6. Step 6: Final answer
    x = 146,890.48

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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.