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Finding the Fourth Proportional to 203,200, 280,351.20 and 131,634.88

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Solution

The fourth proportional to 203,200, 280,351.20 and 131,634.88 is: 181,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200 : 280,351.20 = 131,634.88 : x
  2. Step 2: Convert to fraction form
    203,200/280,351.20 = 131,634.88/x
  3. Step 3: Cross multiply
    203,200x = 280,351.20 × 131,634.88
  4. Step 4: Simplify right side
    203,200x = 36,903,996,569.86
  5. Step 5: Solve for x
    x = 36,903,996,569.86/203,200
  6. Step 6: Final answer
    x = 181,614.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.