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Finding the Fourth Proportional to 55,178.74, 82,759.74 and 20,118.43

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Solution

The fourth proportional to 55,178.74, 82,759.74 and 20,118.43 is: 30,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.74 : 82,759.74 = 20,118.43 : x
  2. Step 2: Convert to fraction form
    55,178.74/82,759.74 = 20,118.43/x
  3. Step 3: Cross multiply
    55,178.74x = 82,759.74 × 20,118.43
  4. Step 4: Simplify right side
    55,178.74x = 1,664,996,036.01
  5. Step 5: Solve for x
    x = 1,664,996,036.01/55,178.74
  6. Step 6: Final answer
    x = 30,174.59

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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.