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Finding the Fourth Proportional to 81,982.51, 122,696.01 and 50,412.57

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Solution

The fourth proportional to 81,982.51, 122,696.01 and 50,412.57 is: 75,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,982.51 : 122,696.01 = 50,412.57 : x
  2. Step 2: Convert to fraction form
    81,982.51/122,696.01 = 50,412.57/x
  3. Step 3: Cross multiply
    81,982.51x = 122,696.01 × 50,412.57
  4. Step 4: Simplify right side
    81,982.51x = 6,185,420,732.74
  5. Step 5: Solve for x
    x = 6,185,420,732.74/81,982.51
  6. Step 6: Final answer
    x = 75,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.