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Finding the Fourth Proportional to 165,431.70, 248,249.61 and 76,668.66

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Solution

The fourth proportional to 165,431.70, 248,249.61 and 76,668.66 is: 115,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,431.70 : 248,249.61 = 76,668.66 : x
  2. Step 2: Convert to fraction form
    165,431.70/248,249.61 = 76,668.66/x
  3. Step 3: Cross multiply
    165,431.70x = 248,249.61 × 76,668.66
  4. Step 4: Simplify right side
    165,431.70x = 19,032,964,944.22
  5. Step 5: Solve for x
    x = 19,032,964,944.22/165,431.70
  6. Step 6: Final answer
    x = 115,050.29

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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.