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Finding the Fourth Proportional to 39,805.25, 59,712.05 and 19,819.69

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Solution

The fourth proportional to 39,805.25, 59,712.05 and 19,819.69 is: 29,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,805.25 : 59,712.05 = 19,819.69 : x
  2. Step 2: Convert to fraction form
    39,805.25/59,712.05 = 19,819.69/x
  3. Step 3: Cross multiply
    39,805.25x = 59,712.05 × 19,819.69
  4. Step 4: Simplify right side
    39,805.25x = 1,183,474,220.53
  5. Step 5: Solve for x
    x = 1,183,474,220.53/39,805.25
  6. Step 6: Final answer
    x = 29,731.62

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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.