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Finding the Fourth Proportional to 101,896, 140,629.44 and 57,184

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Solution

The fourth proportional to 101,896, 140,629.44 and 57,184 is: 78,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,896 : 140,629.44 = 57,184 : x
  2. Step 2: Convert to fraction form
    101,896/140,629.44 = 57,184/x
  3. Step 3: Cross multiply
    101,896x = 140,629.44 × 57,184
  4. Step 4: Simplify right side
    101,896x = 8,041,753,896.96
  5. Step 5: Solve for x
    x = 8,041,753,896.96/101,896
  6. Step 6: Final answer
    x = 78,921.19

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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.