Home / 109-163.50-106

Finding the Fourth Proportional to 109, 163.50 and 106

Calculator

Solution

The fourth proportional to 109, 163.50 and 106 is: 159

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 163.50 = 106 : x
  2. Step 2: Convert to fraction form
    109/163.50 = 106/x
  3. Step 3: Cross multiply
    109x = 163.50 × 106
  4. Step 4: Simplify right side
    109x = 17,331
  5. Step 5: Solve for x
    x = 17,331/109
  6. Step 6: Final answer
    x = 159

Related Problems

Find fourth proportional to 54.50, 81.75 and 53
Half scale
Find fourth proportional to 218, 327 and 212
Double scale
Find fourth proportional to 110, 165 and 107
Similar ratio
Find fourth proportional to 163.50, 245.25 and 159
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.