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Finding the Fourth Proportional to 215,993.28, 298,069.80 and 120,500.04

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Solution

The fourth proportional to 215,993.28, 298,069.80 and 120,500.04 is: 166,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,993.28 : 298,069.80 = 120,500.04 : x
  2. Step 2: Convert to fraction form
    215,993.28/298,069.80 = 120,500.04/x
  3. Step 3: Cross multiply
    215,993.28x = 298,069.80 × 120,500.04
  4. Step 4: Simplify right side
    215,993.28x = 35,917,422,822.79
  5. Step 5: Solve for x
    x = 35,917,422,822.79/215,993.28
  6. Step 6: Final answer
    x = 166,289.54

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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.