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Finding the Fourth Proportional to 263,164, 394,749.36 and 76,175.68

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Solution

The fourth proportional to 263,164, 394,749.36 and 76,175.68 is: 114,264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,164 : 394,749.36 = 76,175.68 : x
  2. Step 2: Convert to fraction form
    263,164/394,749.36 = 76,175.68/x
  3. Step 3: Cross multiply
    263,164x = 394,749.36 × 76,175.68
  4. Step 4: Simplify right side
    263,164x = 30,070,300,927.56
  5. Step 5: Solve for x
    x = 30,070,300,927.56/263,164
  6. Step 6: Final answer
    x = 114,264.49

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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.