Home / 144.72-199.50-105.84

Finding the Fourth Proportional to 144.72, 199.50 and 105.84

Calculator

Solution

The fourth proportional to 144.72, 199.50 and 105.84 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 199.50 = 105.84 : x
  2. Step 2: Convert to fraction form
    144.72/199.50 = 105.84/x
  3. Step 3: Cross multiply
    144.72x = 199.50 × 105.84
  4. Step 4: Simplify right side
    144.72x = 21,115.08
  5. Step 5: Solve for x
    x = 21,115.08/144.72
  6. Step 6: Final answer
    x = 145.90

Related Problems

Find fourth proportional to 72.36, 99.75 and 52.92
Half scale
Find fourth proportional to 289.44, 399 and 211.68
Double scale
Find fourth proportional to 145.72, 200.88 and 106.84
Similar ratio
Find fourth proportional to 217.08, 299.25 and 158.76
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.