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Finding the Fourth Proportional to 263,642.64, 395,531.37 and 76,654.14

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Solution

The fourth proportional to 263,642.64, 395,531.37 and 76,654.14 is: 115,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,642.64 : 395,531.37 = 76,654.14 : x
  2. Step 2: Convert to fraction form
    263,642.64/395,531.37 = 76,654.14/x
  3. Step 3: Cross multiply
    263,642.64x = 395,531.37 × 76,654.14
  4. Step 4: Simplify right side
    263,642.64x = 30,319,117,010.37
  5. Step 5: Solve for x
    x = 30,319,117,010.37/263,642.64
  6. Step 6: Final answer
    x = 115,000.81

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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.