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Finding the Fourth Proportional to 76,806.67, 105,949.79 and 48,076.46

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Solution

The fourth proportional to 76,806.67, 105,949.79 and 48,076.46 is: 66,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806.67 : 105,949.79 = 48,076.46 : x
  2. Step 2: Convert to fraction form
    76,806.67/105,949.79 = 48,076.46/x
  3. Step 3: Cross multiply
    76,806.67x = 105,949.79 × 48,076.46
  4. Step 4: Simplify right side
    76,806.67x = 5,093,690,377.34
  5. Step 5: Solve for x
    x = 5,093,690,377.34/76,806.67
  6. Step 6: Final answer
    x = 66,318.34

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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.