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Finding the Fourth Proportional to 259,960, 358,745.28 and 140,728

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Solution

The fourth proportional to 259,960, 358,745.28 and 140,728 is: 194,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,960 : 358,745.28 = 140,728 : x
  2. Step 2: Convert to fraction form
    259,960/358,745.28 = 140,728/x
  3. Step 3: Cross multiply
    259,960x = 358,745.28 × 140,728
  4. Step 4: Simplify right side
    259,960x = 50,485,505,763.84
  5. Step 5: Solve for x
    x = 50,485,505,763.84/259,960
  6. Step 6: Final answer
    x = 194,204.90

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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.