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Finding the Fourth Proportional to 54,544, 75,257.76 and 30,665.92

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Solution

The fourth proportional to 54,544, 75,257.76 and 30,665.92 is: 42,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,544 : 75,257.76 = 30,665.92 : x
  2. Step 2: Convert to fraction form
    54,544/75,257.76 = 30,665.92/x
  3. Step 3: Cross multiply
    54,544x = 75,257.76 × 30,665.92
  4. Step 4: Simplify right side
    54,544x = 2,307,848,447.54
  5. Step 5: Solve for x
    x = 2,307,848,447.54/54,544
  6. Step 6: Final answer
    x = 42,311.68

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Why These Related Problems?

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