Home / 137.58-189.80-108.19

Finding the Fourth Proportional to 137.58, 189.80 and 108.19

Calculator

Solution

The fourth proportional to 137.58, 189.80 and 108.19 is: 149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.58 : 189.80 = 108.19 : x
  2. Step 2: Convert to fraction form
    137.58/189.80 = 108.19/x
  3. Step 3: Cross multiply
    137.58x = 189.80 × 108.19
  4. Step 4: Simplify right side
    137.58x = 20,534.46
  5. Step 5: Solve for x
    x = 20,534.46/137.58
  6. Step 6: Final answer
    x = 149.25

Related Problems

Find fourth proportional to 68.79, 94.90 and 54.10
Half scale
Find fourth proportional to 275.16, 379.60 and 216.38
Double scale
Find fourth proportional to 138.58, 191.18 and 109.19
Similar ratio
Find fourth proportional to 206.37, 284.70 and 162.29
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.