Home / 72.08-108.14-31.50

Finding the Fourth Proportional to 72.08, 108.14 and 31.50

Calculator

Solution

The fourth proportional to 72.08, 108.14 and 31.50 is: 47.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.08 : 108.14 = 31.50 : x
  2. Step 2: Convert to fraction form
    72.08/108.14 = 31.50/x
  3. Step 3: Cross multiply
    72.08x = 108.14 × 31.50
  4. Step 4: Simplify right side
    72.08x = 3,406.41
  5. Step 5: Solve for x
    x = 3,406.41/72.08
  6. Step 6: Final answer
    x = 47.26

Related Problems

Find fourth proportional to 36.04, 54.07 and 15.75
Half scale
Find fourth proportional to 144.16, 216.28 and 63
Double scale
Find fourth proportional to 73.08, 109.64 and 32.50
Similar ratio
Find fourth proportional to 108.12, 162.21 and 47.25
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.