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Finding the Fourth Proportional to 215,954.34, 298,023.30 and 120,458.97

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Solution

The fourth proportional to 215,954.34, 298,023.30 and 120,458.97 is: 166,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,954.34 : 298,023.30 = 120,458.97 : x
  2. Step 2: Convert to fraction form
    215,954.34/298,023.30 = 120,458.97/x
  3. Step 3: Cross multiply
    215,954.34x = 298,023.30 × 120,458.97
  4. Step 4: Simplify right side
    215,954.34x = 35,899,579,754.00
  5. Step 5: Solve for x
    x = 35,899,579,754.00/215,954.34
  6. Step 6: Final answer
    x = 166,236.90

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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.