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Finding the Fourth Proportional to 199,303.50, 275,038.83 and 109,879.50

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Solution

The fourth proportional to 199,303.50, 275,038.83 and 109,879.50 is: 151,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,303.50 : 275,038.83 = 109,879.50 : x
  2. Step 2: Convert to fraction form
    199,303.50/275,038.83 = 109,879.50/x
  3. Step 3: Cross multiply
    199,303.50x = 275,038.83 × 109,879.50
  4. Step 4: Simplify right side
    199,303.50x = 30,221,129,120.99
  5. Step 5: Solve for x
    x = 30,221,129,120.99/199,303.50
  6. Step 6: Final answer
    x = 151,633.71

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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.