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Finding the Fourth Proportional to 149,863.74, 206,809.55 and 81,879.26

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Solution

The fourth proportional to 149,863.74, 206,809.55 and 81,879.26 is: 112,992.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.74 : 206,809.55 = 81,879.26 : x
  2. Step 2: Convert to fraction form
    149,863.74/206,809.55 = 81,879.26/x
  3. Step 3: Cross multiply
    149,863.74x = 206,809.55 × 81,879.26
  4. Step 4: Simplify right side
    149,863.74x = 16,933,411,778.54
  5. Step 5: Solve for x
    x = 16,933,411,778.54/149,863.74
  6. Step 6: Final answer
    x = 112,992.05

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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.