Home / 98.21-147.30-82.07

Finding the Fourth Proportional to 98.21, 147.30 and 82.07

Calculator

Solution

The fourth proportional to 98.21, 147.30 and 82.07 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.21 : 147.30 = 82.07 : x
  2. Step 2: Convert to fraction form
    98.21/147.30 = 82.07/x
  3. Step 3: Cross multiply
    98.21x = 147.30 × 82.07
  4. Step 4: Simplify right side
    98.21x = 12,088.17
  5. Step 5: Solve for x
    x = 12,088.17/98.21
  6. Step 6: Final answer
    x = 123.09

Related Problems

Find fourth proportional to 49.10, 73.65 and 41.03
Half scale
Find fourth proportional to 196.41, 294.60 and 164.13
Double scale
Find fourth proportional to 99.21, 148.80 and 83.07
Similar ratio
Find fourth proportional to 147.31, 220.95 and 123.10
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.