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Finding the Fourth Proportional to 76,709.67, 105,837.96 and 49,474.23

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Solution

The fourth proportional to 76,709.67, 105,837.96 and 49,474.23 is: 68,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,709.67 : 105,837.96 = 49,474.23 : x
  2. Step 2: Convert to fraction form
    76,709.67/105,837.96 = 49,474.23/x
  3. Step 3: Cross multiply
    76,709.67x = 105,837.96 × 49,474.23
  4. Step 4: Simplify right side
    76,709.67x = 5,236,251,840.37
  5. Step 5: Solve for x
    x = 5,236,251,840.37/76,709.67
  6. Step 6: Final answer
    x = 68,260.65

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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.