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Finding the Fourth Proportional to 120,497.63, 166,286.72 and 72,762.71

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Solution

The fourth proportional to 120,497.63, 166,286.72 and 72,762.71 is: 100,412.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.63 : 166,286.72 = 72,762.71 : x
  2. Step 2: Convert to fraction form
    120,497.63/166,286.72 = 72,762.71/x
  3. Step 3: Cross multiply
    120,497.63x = 166,286.72 × 72,762.71
  4. Step 4: Simplify right side
    120,497.63x = 12,099,471,734.68
  5. Step 5: Solve for x
    x = 12,099,471,734.68/120,497.63
  6. Step 6: Final answer
    x = 100,412.53

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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.