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Finding the Fourth Proportional to 199,391.89, 275,153.20 and 109,967.89

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Solution

The fourth proportional to 199,391.89, 275,153.20 and 109,967.89 is: 151,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,391.89 : 275,153.20 = 109,967.89 : x
  2. Step 2: Convert to fraction form
    199,391.89/275,153.20 = 109,967.89/x
  3. Step 3: Cross multiply
    199,391.89x = 275,153.20 × 109,967.89
  4. Step 4: Simplify right side
    199,391.89x = 30,258,016,830.75
  5. Step 5: Solve for x
    x = 30,258,016,830.75/199,391.89
  6. Step 6: Final answer
    x = 151,751.49

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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.