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Finding the Fourth Proportional to 101,895, 140,628.06 and 57,183

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Solution

The fourth proportional to 101,895, 140,628.06 and 57,183 is: 78,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,895 : 140,628.06 = 57,183 : x
  2. Step 2: Convert to fraction form
    101,895/140,628.06 = 57,183/x
  3. Step 3: Cross multiply
    101,895x = 140,628.06 × 57,183
  4. Step 4: Simplify right side
    101,895x = 8,041,534,354.98
  5. Step 5: Solve for x
    x = 8,041,534,354.98/101,895
  6. Step 6: Final answer
    x = 78,919.81

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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.