Home / 109.59-164.42-77.12

Finding the Fourth Proportional to 109.59, 164.42 and 77.12

Calculator

Solution

The fourth proportional to 109.59, 164.42 and 77.12 is: 115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.59 : 164.42 = 77.12 : x
  2. Step 2: Convert to fraction form
    109.59/164.42 = 77.12/x
  3. Step 3: Cross multiply
    109.59x = 164.42 × 77.12
  4. Step 4: Simplify right side
    109.59x = 12,680.07
  5. Step 5: Solve for x
    x = 12,680.07/109.59
  6. Step 6: Final answer
    x = 115.70

Related Problems

Find fourth proportional to 54.80, 82.21 and 38.56
Half scale
Find fourth proportional to 219.18, 328.84 and 154.24
Double scale
Find fourth proportional to 110.59, 165.92 and 78.12
Similar ratio
Find fourth proportional to 164.39, 246.63 and 115.68
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.