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Finding the Fourth Proportional to 51,367.62, 77,029.56 and 20,181

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Solution

The fourth proportional to 51,367.62, 77,029.56 and 20,181 is: 30,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,367.62 : 77,029.56 = 20,181 : x
  2. Step 2: Convert to fraction form
    51,367.62/77,029.56 = 20,181/x
  3. Step 3: Cross multiply
    51,367.62x = 77,029.56 × 20,181
  4. Step 4: Simplify right side
    51,367.62x = 1,554,533,550.36
  5. Step 5: Solve for x
    x = 1,554,533,550.36/51,367.62
  6. Step 6: Final answer
    x = 30,262.91

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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.