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Finding the Fourth Proportional to 199,745.77, 275,647.51 and 109,101.79

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Solution

The fourth proportional to 199,745.77, 275,647.51 and 109,101.79 is: 150,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,745.77 : 275,647.51 = 109,101.79 : x
  2. Step 2: Convert to fraction form
    199,745.77/275,647.51 = 109,101.79/x
  3. Step 3: Cross multiply
    199,745.77x = 275,647.51 × 109,101.79
  4. Step 4: Simplify right side
    199,745.77x = 30,073,636,750.04
  5. Step 5: Solve for x
    x = 30,073,636,750.04/199,745.77
  6. Step 6: Final answer
    x = 150,559.57

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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.