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Finding the Fourth Proportional to 122,120.81, 182,865.74 and 84,286.83

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Solution

The fourth proportional to 122,120.81, 182,865.74 and 84,286.83 is: 126,212.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,120.81 : 182,865.74 = 84,286.83 : x
  2. Step 2: Convert to fraction form
    122,120.81/182,865.74 = 84,286.83/x
  3. Step 3: Cross multiply
    122,120.81x = 182,865.74 × 84,286.83
  4. Step 4: Simplify right side
    122,120.81x = 15,413,173,118.77
  5. Step 5: Solve for x
    x = 15,413,173,118.77/122,120.81
  6. Step 6: Final answer
    x = 126,212.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.