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Finding the Fourth Proportional to 101,997, 140,769.06 and 57,285

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Solution

The fourth proportional to 101,997, 140,769.06 and 57,285 is: 79,060.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997 : 140,769.06 = 57,285 : x
  2. Step 2: Convert to fraction form
    101,997/140,769.06 = 57,285/x
  3. Step 3: Cross multiply
    101,997x = 140,769.06 × 57,285
  4. Step 4: Simplify right side
    101,997x = 8,063,955,602.10
  5. Step 5: Solve for x
    x = 8,063,955,602.10/101,997
  6. Step 6: Final answer
    x = 79,060.71

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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.