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Finding the Fourth Proportional to 259,876, 358,629.08 and 140,644

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Solution

The fourth proportional to 259,876, 358,629.08 and 140,644 is: 194,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,876 : 358,629.08 = 140,644 : x
  2. Step 2: Convert to fraction form
    259,876/358,629.08 = 140,644/x
  3. Step 3: Cross multiply
    259,876x = 358,629.08 × 140,644
  4. Step 4: Simplify right side
    259,876x = 50,439,028,327.52
  5. Step 5: Solve for x
    x = 50,439,028,327.52/259,876
  6. Step 6: Final answer
    x = 194,088.83

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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.