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Finding the Fourth Proportional to 259,268, 357,790.08 and 140,036

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Solution

The fourth proportional to 259,268, 357,790.08 and 140,036 is: 193,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,268 : 357,790.08 = 140,036 : x
  2. Step 2: Convert to fraction form
    259,268/357,790.08 = 140,036/x
  3. Step 3: Cross multiply
    259,268x = 357,790.08 × 140,036
  4. Step 4: Simplify right side
    259,268x = 50,103,491,642.88
  5. Step 5: Solve for x
    x = 50,103,491,642.88/259,268
  6. Step 6: Final answer
    x = 193,249.81

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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.