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Finding the Fourth Proportional to 218,008, 326,835.48 and 68,171.12

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Solution

The fourth proportional to 218,008, 326,835.48 and 68,171.12 is: 102,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,008 : 326,835.48 = 68,171.12 : x
  2. Step 2: Convert to fraction form
    218,008/326,835.48 = 68,171.12/x
  3. Step 3: Cross multiply
    218,008x = 326,835.48 × 68,171.12
  4. Step 4: Simplify right side
    218,008x = 22,280,740,727.34
  5. Step 5: Solve for x
    x = 22,280,740,727.34/218,008
  6. Step 6: Final answer
    x = 102,201.48

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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.