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Finding the Fourth Proportional to 101,988.46, 140,704.77 and 75,194.56

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Solution

The fourth proportional to 101,988.46, 140,704.77 and 75,194.56 is: 103,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,988.46 : 140,704.77 = 75,194.56 : x
  2. Step 2: Convert to fraction form
    101,988.46/140,704.77 = 75,194.56/x
  3. Step 3: Cross multiply
    101,988.46x = 140,704.77 × 75,194.56
  4. Step 4: Simplify right side
    101,988.46x = 10,580,233,270.05
  5. Step 5: Solve for x
    x = 10,580,233,270.05/101,988.46
  6. Step 6: Final answer
    x = 103,739.51

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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.