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Finding the Fourth Proportional to 214,131.20, 321,196.80 and 192,012.80

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Solution

The fourth proportional to 214,131.20, 321,196.80 and 192,012.80 is: 288,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,131.20 : 321,196.80 = 192,012.80 : x
  2. Step 2: Convert to fraction form
    214,131.20/321,196.80 = 192,012.80/x
  3. Step 3: Cross multiply
    214,131.20x = 321,196.80 × 192,012.80
  4. Step 4: Simplify right side
    214,131.20x = 61,673,896,919.04
  5. Step 5: Solve for x
    x = 61,673,896,919.04/214,131.20
  6. Step 6: Final answer
    x = 288,019.20

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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.