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Finding the Fourth Proportional to 225,821.70, 311,635.62 and 154,199.88

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Solution

The fourth proportional to 225,821.70, 311,635.62 and 154,199.88 is: 212,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,821.70 : 311,635.62 = 154,199.88 : x
  2. Step 2: Convert to fraction form
    225,821.70/311,635.62 = 154,199.88/x
  3. Step 3: Cross multiply
    225,821.70x = 311,635.62 × 154,199.88
  4. Step 4: Simplify right side
    225,821.70x = 48,054,175,207.73
  5. Step 5: Solve for x
    x = 48,054,175,207.73/225,821.70
  6. Step 6: Final answer
    x = 212,796.98

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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.