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Finding the Fourth Proportional to 221,260, 305,361.84 and 136,374.88

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Solution

The fourth proportional to 221,260, 305,361.84 and 136,374.88 is: 188,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,260 : 305,361.84 = 136,374.88 : x
  2. Step 2: Convert to fraction form
    221,260/305,361.84 = 136,374.88/x
  3. Step 3: Cross multiply
    221,260x = 305,361.84 × 136,374.88
  4. Step 4: Simplify right side
    221,260x = 41,643,684,286.58
  5. Step 5: Solve for x
    x = 41,643,684,286.58/221,260
  6. Step 6: Final answer
    x = 188,211.54

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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.