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Finding the Fourth Proportional to 81,102.84, 111,936.48 and 48,399.36

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Solution

The fourth proportional to 81,102.84, 111,936.48 and 48,399.36 is: 66,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,102.84 : 111,936.48 = 48,399.36 : x
  2. Step 2: Convert to fraction form
    81,102.84/111,936.48 = 48,399.36/x
  3. Step 3: Cross multiply
    81,102.84x = 111,936.48 × 48,399.36
  4. Step 4: Simplify right side
    81,102.84x = 5,417,653,992.65
  5. Step 5: Solve for x
    x = 5,417,653,992.65/81,102.84
  6. Step 6: Final answer
    x = 66,799.81

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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.