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Finding the Fourth Proportional to 71,769.84, 107,646.40 and 19,183.44

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Solution

The fourth proportional to 71,769.84, 107,646.40 and 19,183.44 is: 28,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.84 : 107,646.40 = 19,183.44 : x
  2. Step 2: Convert to fraction form
    71,769.84/107,646.40 = 19,183.44/x
  3. Step 3: Cross multiply
    71,769.84x = 107,646.40 × 19,183.44
  4. Step 4: Simplify right side
    71,769.84x = 2,065,028,255.62
  5. Step 5: Solve for x
    x = 2,065,028,255.62/71,769.84
  6. Step 6: Final answer
    x = 28,772.93

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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.