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Finding the Fourth Proportional to 69,956.12, 104,919.22 and 20,022.81

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Solution

The fourth proportional to 69,956.12, 104,919.22 and 20,022.81 is: 30,029.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,956.12 : 104,919.22 = 20,022.81 : x
  2. Step 2: Convert to fraction form
    69,956.12/104,919.22 = 20,022.81/x
  3. Step 3: Cross multiply
    69,956.12x = 104,919.22 × 20,022.81
  4. Step 4: Simplify right side
    69,956.12x = 2,100,777,607.41
  5. Step 5: Solve for x
    x = 2,100,777,607.41/69,956.12
  6. Step 6: Final answer
    x = 30,029.93

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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.