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Finding the Fourth Proportional to 203,067, 280,193.56 and 131,437.08

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Solution

The fourth proportional to 203,067, 280,193.56 and 131,437.08 is: 181,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,067 : 280,193.56 = 131,437.08 : x
  2. Step 2: Convert to fraction form
    203,067/280,193.56 = 131,437.08/x
  3. Step 3: Cross multiply
    203,067x = 280,193.56 × 131,437.08
  4. Step 4: Simplify right side
    203,067x = 36,827,823,361.20
  5. Step 5: Solve for x
    x = 36,827,823,361.20/203,067
  6. Step 6: Final answer
    x = 181,357.99

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1.5x scale

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.