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Finding the Fourth Proportional to 221,282, 305,392.20 and 136,396.88

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Solution

The fourth proportional to 221,282, 305,392.20 and 136,396.88 is: 188,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,282 : 305,392.20 = 136,396.88 : x
  2. Step 2: Convert to fraction form
    221,282/305,392.20 = 136,396.88/x
  3. Step 3: Cross multiply
    221,282x = 305,392.20 × 136,396.88
  4. Step 4: Simplify right side
    221,282x = 41,654,543,256.34
  5. Step 5: Solve for x
    x = 41,654,543,256.34/221,282
  6. Step 6: Final answer
    x = 188,241.90

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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.