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Finding the Fourth Proportional to 260,019, 358,826.22 and 140,787

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Solution

The fourth proportional to 260,019, 358,826.22 and 140,787 is: 194,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,019 : 358,826.22 = 140,787 : x
  2. Step 2: Convert to fraction form
    260,019/358,826.22 = 140,787/x
  3. Step 3: Cross multiply
    260,019x = 358,826.22 × 140,787
  4. Step 4: Simplify right side
    260,019x = 50,518,067,035.14
  5. Step 5: Solve for x
    x = 50,518,067,035.14/260,019
  6. Step 6: Final answer
    x = 194,286.06

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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.