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Finding the Fourth Proportional to 218,393.29, 327,668.78 and 76,259.52

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Solution

The fourth proportional to 218,393.29, 327,668.78 and 76,259.52 is: 114,416.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,393.29 : 327,668.78 = 76,259.52 : x
  2. Step 2: Convert to fraction form
    218,393.29/327,668.78 = 76,259.52/x
  3. Step 3: Cross multiply
    218,393.29x = 327,668.78 × 76,259.52
  4. Step 4: Simplify right side
    218,393.29x = 24,987,863,500.49
  5. Step 5: Solve for x
    x = 24,987,863,500.49/218,393.29
  6. Step 6: Final answer
    x = 114,416.81

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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.