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Finding the Fourth Proportional to 101,991.75, 140,758.12 and 61,715.44

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Solution

The fourth proportional to 101,991.75, 140,758.12 and 61,715.44 is: 85,173.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.75 : 140,758.12 = 61,715.44 : x
  2. Step 2: Convert to fraction form
    101,991.75/140,758.12 = 61,715.44/x
  3. Step 3: Cross multiply
    101,991.75x = 140,758.12 × 61,715.44
  4. Step 4: Simplify right side
    101,991.75x = 8,686,949,309.37
  5. Step 5: Solve for x
    x = 8,686,949,309.37/101,991.75
  6. Step 6: Final answer
    x = 85,173.06

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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.