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Finding the Fourth Proportional to 218,012, 326,841.48 and 68,175.12

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Solution

The fourth proportional to 218,012, 326,841.48 and 68,175.12 is: 102,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,012 : 326,841.48 = 68,175.12 : x
  2. Step 2: Convert to fraction form
    218,012/326,841.48 = 68,175.12/x
  3. Step 3: Cross multiply
    218,012x = 326,841.48 × 68,175.12
  4. Step 4: Simplify right side
    218,012x = 22,282,457,119.98
  5. Step 5: Solve for x
    x = 22,282,457,119.98/218,012
  6. Step 6: Final answer
    x = 102,207.48

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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.