Home / 82.10-123.06-77.24

Finding the Fourth Proportional to 82.10, 123.06 and 77.24

Calculator

Solution

The fourth proportional to 82.10, 123.06 and 77.24 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.10 : 123.06 = 77.24 : x
  2. Step 2: Convert to fraction form
    82.10/123.06 = 77.24/x
  3. Step 3: Cross multiply
    82.10x = 123.06 × 77.24
  4. Step 4: Simplify right side
    82.10x = 9,505.15
  5. Step 5: Solve for x
    x = 9,505.15/82.10
  6. Step 6: Final answer
    x = 115.78

Related Problems

Find fourth proportional to 41.05, 61.53 and 38.62
Half scale
Find fourth proportional to 164.20, 246.12 and 154.48
Double scale
Find fourth proportional to 83.10, 124.56 and 78.24
Similar ratio
Find fourth proportional to 123.15, 184.59 and 115.86
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.