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Finding the Fourth Proportional to 259,413, 357,989.94 and 140,181

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Solution

The fourth proportional to 259,413, 357,989.94 and 140,181 is: 193,449.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,413 : 357,989.94 = 140,181 : x
  2. Step 2: Convert to fraction form
    259,413/357,989.94 = 140,181/x
  3. Step 3: Cross multiply
    259,413x = 357,989.94 × 140,181
  4. Step 4: Simplify right side
    259,413x = 50,183,387,779.14
  5. Step 5: Solve for x
    x = 50,183,387,779.14/259,413
  6. Step 6: Final answer
    x = 193,449.78

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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.