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Finding the Fourth Proportional to 76,376.79, 105,378.44 and 49,520.43

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Solution

The fourth proportional to 76,376.79, 105,378.44 and 49,520.43 is: 68,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,376.79 : 105,378.44 = 49,520.43 : x
  2. Step 2: Convert to fraction form
    76,376.79/105,378.44 = 49,520.43/x
  3. Step 3: Cross multiply
    76,376.79x = 105,378.44 × 49,520.43
  4. Step 4: Simplify right side
    76,376.79x = 5,218,385,413.93
  5. Step 5: Solve for x
    x = 5,218,385,413.93/76,376.79
  6. Step 6: Final answer
    x = 68,324.23

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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.