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Finding the Fourth Proportional to 51,137.74, 76,704.78 and 17,857.68

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Solution

The fourth proportional to 51,137.74, 76,704.78 and 17,857.68 is: 26,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,137.74 : 76,704.78 = 17,857.68 : x
  2. Step 2: Convert to fraction form
    51,137.74/76,704.78 = 17,857.68/x
  3. Step 3: Cross multiply
    51,137.74x = 76,704.78 × 17,857.68
  4. Step 4: Simplify right side
    51,137.74x = 1,369,769,415.71
  5. Step 5: Solve for x
    x = 1,369,769,415.71/51,137.74
  6. Step 6: Final answer
    x = 26,785.88

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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.