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Finding the Fourth Proportional to 81,344.44, 122,051.57 and 31,459.54

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Solution

The fourth proportional to 81,344.44, 122,051.57 and 31,459.54 is: 47,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,344.44 : 122,051.57 = 31,459.54 : x
  2. Step 2: Convert to fraction form
    81,344.44/122,051.57 = 31,459.54/x
  3. Step 3: Cross multiply
    81,344.44x = 122,051.57 × 31,459.54
  4. Step 4: Simplify right side
    81,344.44x = 3,839,686,236.10
  5. Step 5: Solve for x
    x = 3,839,686,236.10/81,344.44
  6. Step 6: Final answer
    x = 47,202.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.