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Finding the Fourth Proportional to 51,162.70, 76,738.71 and 13,726.78

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Solution

The fourth proportional to 51,162.70, 76,738.71 and 13,726.78 is: 20,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,162.70 : 76,738.71 = 13,726.78 : x
  2. Step 2: Convert to fraction form
    51,162.70/76,738.71 = 13,726.78/x
  3. Step 3: Cross multiply
    51,162.70x = 76,738.71 × 13,726.78
  4. Step 4: Simplify right side
    51,162.70x = 1,053,375,389.65
  5. Step 5: Solve for x
    x = 1,053,375,389.65/51,162.70
  6. Step 6: Final answer
    x = 20,588.74

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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.