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Finding the Fourth Proportional to 71,768.84, 107,644.90 and 19,182.44

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Solution

The fourth proportional to 71,768.84, 107,644.90 and 19,182.44 is: 28,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768.84 : 107,644.90 = 19,182.44 : x
  2. Step 2: Convert to fraction form
    71,768.84/107,644.90 = 19,182.44/x
  3. Step 3: Cross multiply
    71,768.84x = 107,644.90 × 19,182.44
  4. Step 4: Simplify right side
    71,768.84x = 2,064,891,835.56
  5. Step 5: Solve for x
    x = 2,064,891,835.56/71,768.84
  6. Step 6: Final answer
    x = 28,771.43

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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.