Home / 105.82-159.03-105.23

Finding the Fourth Proportional to 105.82, 159.03 and 105.23

Calculator

Solution

The fourth proportional to 105.82, 159.03 and 105.23 is: 158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.82 : 159.03 = 105.23 : x
  2. Step 2: Convert to fraction form
    105.82/159.03 = 105.23/x
  3. Step 3: Cross multiply
    105.82x = 159.03 × 105.23
  4. Step 4: Simplify right side
    105.82x = 16,734.73
  5. Step 5: Solve for x
    x = 16,734.73/105.82
  6. Step 6: Final answer
    x = 158.14

Related Problems

Find fourth proportional to 52.91, 79.52 and 52.62
Half scale
Find fourth proportional to 211.64, 318.06 and 210.46
Double scale
Find fourth proportional to 106.82, 160.53 and 106.23
Similar ratio
Find fourth proportional to 158.73, 238.55 and 157.85
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.