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Finding the Fourth Proportional to 259,540, 358,165.68 and 140,308

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Solution

The fourth proportional to 259,540, 358,165.68 and 140,308 is: 193,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540 : 358,165.68 = 140,308 : x
  2. Step 2: Convert to fraction form
    259,540/358,165.68 = 140,308/x
  3. Step 3: Cross multiply
    259,540x = 358,165.68 × 140,308
  4. Step 4: Simplify right side
    259,540x = 50,253,510,229.44
  5. Step 5: Solve for x
    x = 50,253,510,229.44/259,540
  6. Step 6: Final answer
    x = 193,625.30

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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.