Home / 168.16-231.90-106

Finding the Fourth Proportional to 168.16, 231.90 and 106

Calculator

Solution

The fourth proportional to 168.16, 231.90 and 106 is: 146.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.16 : 231.90 = 106 : x
  2. Step 2: Convert to fraction form
    168.16/231.90 = 106/x
  3. Step 3: Cross multiply
    168.16x = 231.90 × 106
  4. Step 4: Simplify right side
    168.16x = 24,581.40
  5. Step 5: Solve for x
    x = 24,581.40/168.16
  6. Step 6: Final answer
    x = 146.18

Related Problems

Find fourth proportional to 84.08, 115.95 and 53
Half scale
Find fourth proportional to 336.32, 463.80 and 212
Double scale
Find fourth proportional to 169.16, 233.28 and 107
Similar ratio
Find fourth proportional to 252.24, 347.85 and 159
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.