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Finding the Fourth Proportional to 71,901.80, 107,874.30 and 51,165.80

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Solution

The fourth proportional to 71,901.80, 107,874.30 and 51,165.80 is: 76,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,901.80 : 107,874.30 = 51,165.80 : x
  2. Step 2: Convert to fraction form
    71,901.80/107,874.30 = 51,165.80/x
  3. Step 3: Cross multiply
    71,901.80x = 107,874.30 × 51,165.80
  4. Step 4: Simplify right side
    71,901.80x = 5,519,474,858.94
  5. Step 5: Solve for x
    x = 5,519,474,858.94/71,901.80
  6. Step 6: Final answer
    x = 76,764.07

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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.