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Finding the Fourth Proportional to 143,213.80, 214,820.70 and 132,845.80

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Solution

The fourth proportional to 143,213.80, 214,820.70 and 132,845.80 is: 199,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,213.80 : 214,820.70 = 132,845.80 : x
  2. Step 2: Convert to fraction form
    143,213.80/214,820.70 = 132,845.80/x
  3. Step 3: Cross multiply
    143,213.80x = 214,820.70 × 132,845.80
  4. Step 4: Simplify right side
    143,213.80x = 28,538,027,748.06
  5. Step 5: Solve for x
    x = 28,538,027,748.06/143,213.80
  6. Step 6: Final answer
    x = 199,268.70

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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.