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Finding the Fourth Proportional to 81,309.78, 112,199.58 and 50,679.90

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Solution

The fourth proportional to 81,309.78, 112,199.58 and 50,679.90 is: 69,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,309.78 : 112,199.58 = 50,679.90 : x
  2. Step 2: Convert to fraction form
    81,309.78/112,199.58 = 50,679.90/x
  3. Step 3: Cross multiply
    81,309.78x = 112,199.58 × 50,679.90
  4. Step 4: Simplify right side
    81,309.78x = 5,686,263,494.44
  5. Step 5: Solve for x
    x = 5,686,263,494.44/81,309.78
  6. Step 6: Final answer
    x = 69,933.33

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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.