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Finding the Fourth Proportional to 221,092.28, 305,156.46 and 140,504

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Solution

The fourth proportional to 221,092.28, 305,156.46 and 140,504 is: 193,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,092.28 : 305,156.46 = 140,504 : x
  2. Step 2: Convert to fraction form
    221,092.28/305,156.46 = 140,504/x
  3. Step 3: Cross multiply
    221,092.28x = 305,156.46 × 140,504
  4. Step 4: Simplify right side
    221,092.28x = 42,875,703,255.84
  5. Step 5: Solve for x
    x = 42,875,703,255.84/221,092.28
  6. Step 6: Final answer
    x = 193,926.73

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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.