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Finding the Fourth Proportional to 149,131.91, 205,734.04 and 88,668.20

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Solution

The fourth proportional to 149,131.91, 205,734.04 and 88,668.20 is: 122,321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,131.91 : 205,734.04 = 88,668.20 : x
  2. Step 2: Convert to fraction form
    149,131.91/205,734.04 = 88,668.20/x
  3. Step 3: Cross multiply
    149,131.91x = 205,734.04 × 88,668.20
  4. Step 4: Simplify right side
    149,131.91x = 18,242,067,298.19
  5. Step 5: Solve for x
    x = 18,242,067,298.19/149,131.91
  6. Step 6: Final answer
    x = 122,321.69

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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.