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Finding the Fourth Proportional to 120,586, 166,408.68 and 66,879.24

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Solution

The fourth proportional to 120,586, 166,408.68 and 66,879.24 is: 92,293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,586 : 166,408.68 = 66,879.24 : x
  2. Step 2: Convert to fraction form
    120,586/166,408.68 = 66,879.24/x
  3. Step 3: Cross multiply
    120,586x = 166,408.68 × 66,879.24
  4. Step 4: Simplify right side
    120,586x = 11,129,286,047.80
  5. Step 5: Solve for x
    x = 11,129,286,047.80/120,586
  6. Step 6: Final answer
    x = 92,293.35

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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.