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Finding the Fourth Proportional to 101,998, 140,770.44 and 57,286

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Solution

The fourth proportional to 101,998, 140,770.44 and 57,286 is: 79,062.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998 : 140,770.44 = 57,286 : x
  2. Step 2: Convert to fraction form
    101,998/140,770.44 = 57,286/x
  3. Step 3: Cross multiply
    101,998x = 140,770.44 × 57,286
  4. Step 4: Simplify right side
    101,998x = 8,064,175,425.84
  5. Step 5: Solve for x
    x = 8,064,175,425.84/101,998
  6. Step 6: Final answer
    x = 79,062.09

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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.