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Finding the Fourth Proportional to 221,546.32, 305,729.16 and 120,946

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Solution

The fourth proportional to 221,546.32, 305,729.16 and 120,946 is: 166,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,546.32 : 305,729.16 = 120,946 : x
  2. Step 2: Convert to fraction form
    221,546.32/305,729.16 = 120,946/x
  3. Step 3: Cross multiply
    221,546.32x = 305,729.16 × 120,946
  4. Step 4: Simplify right side
    221,546.32x = 36,976,718,985.36
  5. Step 5: Solve for x
    x = 36,976,718,985.36/221,546.32
  6. Step 6: Final answer
    x = 166,902.88

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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.