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Finding the Fourth Proportional to 55,178.44, 82,780.70 and 15,736.12

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Solution

The fourth proportional to 55,178.44, 82,780.70 and 15,736.12 is: 23,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.44 : 82,780.70 = 15,736.12 : x
  2. Step 2: Convert to fraction form
    55,178.44/82,780.70 = 15,736.12/x
  3. Step 3: Cross multiply
    55,178.44x = 82,780.70 × 15,736.12
  4. Step 4: Simplify right side
    55,178.44x = 1,302,647,028.88
  5. Step 5: Solve for x
    x = 1,302,647,028.88/55,178.44
  6. Step 6: Final answer
    x = 23,607.90

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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.