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Finding the Fourth Proportional to 218,105.98, 327,159.10 and 68,357.94

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Solution

The fourth proportional to 218,105.98, 327,159.10 and 68,357.94 is: 102,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,105.98 : 327,159.10 = 68,357.94 : x
  2. Step 2: Convert to fraction form
    218,105.98/327,159.10 = 68,357.94/x
  3. Step 3: Cross multiply
    218,105.98x = 327,159.10 × 68,357.94
  4. Step 4: Simplify right side
    218,105.98x = 22,363,922,128.25
  5. Step 5: Solve for x
    x = 22,363,922,128.25/218,105.98
  6. Step 6: Final answer
    x = 102,536.95

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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.