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Finding the Fourth Proportional to 68,221.51, 102,367.80 and 51,576.63

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Solution

The fourth proportional to 68,221.51, 102,367.80 and 51,576.63 is: 77,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,221.51 : 102,367.80 = 51,576.63 : x
  2. Step 2: Convert to fraction form
    68,221.51/102,367.80 = 51,576.63/x
  3. Step 3: Cross multiply
    68,221.51x = 102,367.80 × 51,576.63
  4. Step 4: Simplify right side
    68,221.51x = 5,279,786,144.51
  5. Step 5: Solve for x
    x = 5,279,786,144.51/68,221.51
  6. Step 6: Final answer
    x = 77,391.81

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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.