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Finding the Fourth Proportional to 221,092.75, 305,157.24 and 140,504.56

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Solution

The fourth proportional to 221,092.75, 305,157.24 and 140,504.56 is: 193,927.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,092.75 : 305,157.24 = 140,504.56 : x
  2. Step 2: Convert to fraction form
    221,092.75/305,157.24 = 140,504.56/x
  3. Step 3: Cross multiply
    221,092.75x = 305,157.24 × 140,504.56
  4. Step 4: Simplify right side
    221,092.75x = 42,875,983,737.01
  5. Step 5: Solve for x
    x = 42,875,983,737.01/221,092.75
  6. Step 6: Final answer
    x = 193,927.59

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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.