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Finding the Fourth Proportional to 199,661.89, 275,500.88 and 117,978.77

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Solution

The fourth proportional to 199,661.89, 275,500.88 and 117,978.77 is: 162,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,661.89 : 275,500.88 = 117,978.77 : x
  2. Step 2: Convert to fraction form
    199,661.89/275,500.88 = 117,978.77/x
  3. Step 3: Cross multiply
    199,661.89x = 275,500.88 × 117,978.77
  4. Step 4: Simplify right side
    199,661.89x = 32,503,255,940.02
  5. Step 5: Solve for x
    x = 32,503,255,940.02/199,661.89
  6. Step 6: Final answer
    x = 162,791.49

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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.