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Finding the Fourth Proportional to 165,990, 229,067.88 and 90,540.12

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Solution

The fourth proportional to 165,990, 229,067.88 and 90,540.12 is: 124,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,990 : 229,067.88 = 90,540.12 : x
  2. Step 2: Convert to fraction form
    165,990/229,067.88 = 90,540.12/x
  3. Step 3: Cross multiply
    165,990x = 229,067.88 × 90,540.12
  4. Step 4: Simplify right side
    165,990x = 20,739,833,343.35
  5. Step 5: Solve for x
    x = 20,739,833,343.35/165,990
  6. Step 6: Final answer
    x = 124,946.28

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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.