Home / 106.80-160.31-76.23

Finding the Fourth Proportional to 106.80, 160.31 and 76.23

Calculator

Solution

The fourth proportional to 106.80, 160.31 and 76.23 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.80 : 160.31 = 76.23 : x
  2. Step 2: Convert to fraction form
    106.80/160.31 = 76.23/x
  3. Step 3: Cross multiply
    106.80x = 160.31 × 76.23
  4. Step 4: Simplify right side
    106.80x = 12,220.05
  5. Step 5: Solve for x
    x = 12,220.05/106.80
  6. Step 6: Final answer
    x = 114.42

Related Problems

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.