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Finding the Fourth Proportional to 215,912.80, 297,960.96 and 120,425.66

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Solution

The fourth proportional to 215,912.80, 297,960.96 and 120,425.66 is: 166,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,912.80 : 297,960.96 = 120,425.66 : x
  2. Step 2: Convert to fraction form
    215,912.80/297,960.96 = 120,425.66/x
  3. Step 3: Cross multiply
    215,912.80x = 297,960.96 × 120,425.66
  4. Step 4: Simplify right side
    215,912.80x = 35,882,145,262.23
  5. Step 5: Solve for x
    x = 35,882,145,262.23/215,912.80
  6. Step 6: Final answer
    x = 166,188.13

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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.