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Finding the Fourth Proportional to 81,661.41, 112,704.95 and 49,848.80

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Solution

The fourth proportional to 81,661.41, 112,704.95 and 49,848.80 is: 68,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.41 : 112,704.95 = 49,848.80 : x
  2. Step 2: Convert to fraction form
    81,661.41/112,704.95 = 49,848.80/x
  3. Step 3: Cross multiply
    81,661.41x = 112,704.95 × 49,848.80
  4. Step 4: Simplify right side
    81,661.41x = 5,618,206,072.66
  5. Step 5: Solve for x
    x = 5,618,206,072.66/81,661.41
  6. Step 6: Final answer
    x = 68,798.79

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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.