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Finding the Fourth Proportional to 105,991.05, 146,231.44 and 65,690.11

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Solution

The fourth proportional to 105,991.05, 146,231.44 and 65,690.11 is: 90,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.05 : 146,231.44 = 65,690.11 : x
  2. Step 2: Convert to fraction form
    105,991.05/146,231.44 = 65,690.11/x
  3. Step 3: Cross multiply
    105,991.05x = 146,231.44 × 65,690.11
  4. Step 4: Simplify right side
    105,991.05x = 9,605,958,647.90
  5. Step 5: Solve for x
    x = 9,605,958,647.90/105,991.05
  6. Step 6: Final answer
    x = 90,629.90

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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.