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Finding the Fourth Proportional to 76,775, 105,949.68 and 43,241

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Solution

The fourth proportional to 76,775, 105,949.68 and 43,241 is: 59,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,775 : 105,949.68 = 43,241 : x
  2. Step 2: Convert to fraction form
    76,775/105,949.68 = 43,241/x
  3. Step 3: Cross multiply
    76,775x = 105,949.68 × 43,241
  4. Step 4: Simplify right side
    76,775x = 4,581,370,112.88
  5. Step 5: Solve for x
    x = 4,581,370,112.88/76,775
  6. Step 6: Final answer
    x = 59,672.68

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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.