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Finding the Fourth Proportional to 199,861.51, 275,805.51 and 109,215.49

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Solution

The fourth proportional to 199,861.51, 275,805.51 and 109,215.49 is: 150,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,861.51 : 275,805.51 = 109,215.49 : x
  2. Step 2: Convert to fraction form
    199,861.51/275,805.51 = 109,215.49/x
  3. Step 3: Cross multiply
    199,861.51x = 275,805.51 × 109,215.49
  4. Step 4: Simplify right side
    199,861.51x = 30,122,233,919.35
  5. Step 5: Solve for x
    x = 30,122,233,919.35/199,861.51
  6. Step 6: Final answer
    x = 150,715.53

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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.