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Finding the Fourth Proportional to 55,286.34, 76,297.80 and 31,094.88

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Solution

The fourth proportional to 55,286.34, 76,297.80 and 31,094.88 is: 42,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.34 : 76,297.80 = 31,094.88 : x
  2. Step 2: Convert to fraction form
    55,286.34/76,297.80 = 31,094.88/x
  3. Step 3: Cross multiply
    55,286.34x = 76,297.80 × 31,094.88
  4. Step 4: Simplify right side
    55,286.34x = 2,372,470,765.75
  5. Step 5: Solve for x
    x = 2,372,470,765.75/55,286.34
  6. Step 6: Final answer
    x = 42,912.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.