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Finding the Fourth Proportional to 199,856.75, 275,805.93 and 109,216.54

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Solution

The fourth proportional to 199,856.75, 275,805.93 and 109,216.54 is: 150,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,856.75 : 275,805.93 = 109,216.54 : x
  2. Step 2: Convert to fraction form
    199,856.75/275,805.93 = 109,216.54/x
  3. Step 3: Cross multiply
    199,856.75x = 275,805.93 × 109,216.54
  4. Step 4: Simplify right side
    199,856.75x = 30,122,569,368.59
  5. Step 5: Solve for x
    x = 30,122,569,368.59/199,856.75
  6. Step 6: Final answer
    x = 150,720.80

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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.