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Finding the Fourth Proportional to 259,414, 357,991.32 and 140,182

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Solution

The fourth proportional to 259,414, 357,991.32 and 140,182 is: 193,451.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,414 : 357,991.32 = 140,182 : x
  2. Step 2: Convert to fraction form
    259,414/357,991.32 = 140,182/x
  3. Step 3: Cross multiply
    259,414x = 357,991.32 × 140,182
  4. Step 4: Simplify right side
    259,414x = 50,183,939,220.24
  5. Step 5: Solve for x
    x = 50,183,939,220.24/259,414
  6. Step 6: Final answer
    x = 193,451.16

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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.