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Finding the Fourth Proportional to 263,643.14, 395,532.12 and 76,654.64

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Solution

The fourth proportional to 263,643.14, 395,532.12 and 76,654.64 is: 115,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,643.14 : 395,532.12 = 76,654.64 : x
  2. Step 2: Convert to fraction form
    263,643.14/395,532.12 = 76,654.64/x
  3. Step 3: Cross multiply
    263,643.14x = 395,532.12 × 76,654.64
  4. Step 4: Simplify right side
    263,643.14x = 30,319,372,267.04
  5. Step 5: Solve for x
    x = 30,319,372,267.04/263,643.14
  6. Step 6: Final answer
    x = 115,001.56

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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.