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Finding the Fourth Proportional to 101,910, 140,649.12 and 57,198

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Solution

The fourth proportional to 101,910, 140,649.12 and 57,198 is: 78,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,910 : 140,649.12 = 57,198 : x
  2. Step 2: Convert to fraction form
    101,910/140,649.12 = 57,198/x
  3. Step 3: Cross multiply
    101,910x = 140,649.12 × 57,198
  4. Step 4: Simplify right side
    101,910x = 8,044,848,365.76
  5. Step 5: Solve for x
    x = 8,044,848,365.76/101,910
  6. Step 6: Final answer
    x = 78,940.72

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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.