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Finding the Fourth Proportional to 218,291.50, 327,491.75 and 76,138.82

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Solution

The fourth proportional to 218,291.50, 327,491.75 and 76,138.82 is: 114,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,291.50 : 327,491.75 = 76,138.82 : x
  2. Step 2: Convert to fraction form
    218,291.50/327,491.75 = 76,138.82/x
  3. Step 3: Cross multiply
    218,291.50x = 327,491.75 × 76,138.82
  4. Step 4: Simplify right side
    218,291.50x = 24,934,835,404.74
  5. Step 5: Solve for x
    x = 24,934,835,404.74/218,291.50
  6. Step 6: Final answer
    x = 114,227.24

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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.