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Finding the Fourth Proportional to 215,996.50, 298,074.36 and 120,497.50

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Solution

The fourth proportional to 215,996.50, 298,074.36 and 120,497.50 is: 166,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,996.50 : 298,074.36 = 120,497.50 : x
  2. Step 2: Convert to fraction form
    215,996.50/298,074.36 = 120,497.50/x
  3. Step 3: Cross multiply
    215,996.50x = 298,074.36 × 120,497.50
  4. Step 4: Simplify right side
    215,996.50x = 35,917,215,194.10
  5. Step 5: Solve for x
    x = 35,917,215,194.10/215,996.50
  6. Step 6: Final answer
    x = 166,286.10

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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.