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Finding the Fourth Proportional to 76,807, 105,993.66 and 41,479

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Solution

The fourth proportional to 76,807, 105,993.66 and 41,479 is: 57,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807 : 105,993.66 = 41,479 : x
  2. Step 2: Convert to fraction form
    76,807/105,993.66 = 41,479/x
  3. Step 3: Cross multiply
    76,807x = 105,993.66 × 41,479
  4. Step 4: Simplify right side
    76,807x = 4,396,511,023.14
  5. Step 5: Solve for x
    x = 4,396,511,023.14/76,807
  6. Step 6: Final answer
    x = 57,241.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.