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Finding the Fourth Proportional to 198,507.78, 274,083.75 and 122,129.64

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Solution

The fourth proportional to 198,507.78, 274,083.75 and 122,129.64 is: 168,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,507.78 : 274,083.75 = 122,129.64 : x
  2. Step 2: Convert to fraction form
    198,507.78/274,083.75 = 122,129.64/x
  3. Step 3: Cross multiply
    198,507.78x = 274,083.75 × 122,129.64
  4. Step 4: Simplify right side
    198,507.78x = 33,473,749,717.35
  5. Step 5: Solve for x
    x = 33,473,749,717.35/198,507.78
  6. Step 6: Final answer
    x = 168,626.89

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1.5x scale

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.