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Finding the Fourth Proportional to 259,419, 357,998.22 and 140,187

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Solution

The fourth proportional to 259,419, 357,998.22 and 140,187 is: 193,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,419 : 357,998.22 = 140,187 : x
  2. Step 2: Convert to fraction form
    259,419/357,998.22 = 140,187/x
  3. Step 3: Cross multiply
    259,419x = 357,998.22 × 140,187
  4. Step 4: Simplify right side
    259,419x = 50,186,696,467.14
  5. Step 5: Solve for x
    x = 50,186,696,467.14/259,419
  6. Step 6: Final answer
    x = 193,458.06

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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.