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Finding the Fourth Proportional to 259,797, 358,519.86 and 140,565

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Solution

The fourth proportional to 259,797, 358,519.86 and 140,565 is: 193,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,797 : 358,519.86 = 140,565 : x
  2. Step 2: Convert to fraction form
    259,797/358,519.86 = 140,565/x
  3. Step 3: Cross multiply
    259,797x = 358,519.86 × 140,565
  4. Step 4: Simplify right side
    259,797x = 50,395,344,120.90
  5. Step 5: Solve for x
    x = 50,395,344,120.90/259,797
  6. Step 6: Final answer
    x = 193,979.70

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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.