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Finding the Fourth Proportional to 76,257.72, 105,236.76 and 43,991.82

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Solution

The fourth proportional to 76,257.72, 105,236.76 and 43,991.82 is: 60,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,257.72 : 105,236.76 = 43,991.82 : x
  2. Step 2: Convert to fraction form
    76,257.72/105,236.76 = 43,991.82/x
  3. Step 3: Cross multiply
    76,257.72x = 105,236.76 × 43,991.82
  4. Step 4: Simplify right side
    76,257.72x = 4,629,556,603.30
  5. Step 5: Solve for x
    x = 4,629,556,603.30/76,257.72
  6. Step 6: Final answer
    x = 60,709.35

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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.