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Finding the Fourth Proportional to 221,381, 305,505.78 and 131,957

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Solution

The fourth proportional to 221,381, 305,505.78 and 131,957 is: 182,100.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,381 : 305,505.78 = 131,957 : x
  2. Step 2: Convert to fraction form
    221,381/305,505.78 = 131,957/x
  3. Step 3: Cross multiply
    221,381x = 305,505.78 × 131,957
  4. Step 4: Simplify right side
    221,381x = 40,313,626,211.46
  5. Step 5: Solve for x
    x = 40,313,626,211.46/221,381
  6. Step 6: Final answer
    x = 182,100.66

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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.