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Finding the Fourth Proportional to 165,780, 248,375.16 and 95,514.12

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Solution

The fourth proportional to 165,780, 248,375.16 and 95,514.12 is: 143,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,780 : 248,375.16 = 95,514.12 : x
  2. Step 2: Convert to fraction form
    165,780/248,375.16 = 95,514.12/x
  3. Step 3: Cross multiply
    165,780x = 248,375.16 × 95,514.12
  4. Step 4: Simplify right side
    165,780x = 23,723,334,837.26
  5. Step 5: Solve for x
    x = 23,723,334,837.26/165,780
  6. Step 6: Final answer
    x = 143,101.31

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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.