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Finding the Fourth Proportional to 218,106.51, 327,159.83 and 68,358.41

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Solution

The fourth proportional to 218,106.51, 327,159.83 and 68,358.41 is: 102,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,106.51 : 327,159.83 = 68,358.41 : x
  2. Step 2: Convert to fraction form
    218,106.51/327,159.83 = 68,358.41/x
  3. Step 3: Cross multiply
    218,106.51x = 327,159.83 × 68,358.41
  4. Step 4: Simplify right side
    218,106.51x = 22,364,125,794.67
  5. Step 5: Solve for x
    x = 22,364,125,794.67/218,106.51
  6. Step 6: Final answer
    x = 102,537.64

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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.