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Finding the Fourth Proportional to 81,991.67, 113,149.70 and 45,692.12

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Solution

The fourth proportional to 81,991.67, 113,149.70 and 45,692.12 is: 63,055.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,991.67 : 113,149.70 = 45,692.12 : x
  2. Step 2: Convert to fraction form
    81,991.67/113,149.70 = 45,692.12/x
  3. Step 3: Cross multiply
    81,991.67x = 113,149.70 × 45,692.12
  4. Step 4: Simplify right side
    81,991.67x = 5,170,048,876.15
  5. Step 5: Solve for x
    x = 5,170,048,876.15/81,991.67
  6. Step 6: Final answer
    x = 63,055.79

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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.