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Finding the Fourth Proportional to 76,639.87, 105,786.47 and 49,415.97

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Solution

The fourth proportional to 76,639.87, 105,786.47 and 49,415.97 is: 68,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,639.87 : 105,786.47 = 49,415.97 : x
  2. Step 2: Convert to fraction form
    76,639.87/105,786.47 = 49,415.97/x
  3. Step 3: Cross multiply
    76,639.87x = 105,786.47 × 49,415.97
  4. Step 4: Simplify right side
    76,639.87x = 5,227,541,548.17
  5. Step 5: Solve for x
    x = 5,227,541,548.17/76,639.87
  6. Step 6: Final answer
    x = 68,209.16

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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.