Home / 78.20-106.52-77.84

Finding the Fourth Proportional to 78.20, 106.52 and 77.84

Calculator

Solution

The fourth proportional to 78.20, 106.52 and 77.84 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.20 : 106.52 = 77.84 : x
  2. Step 2: Convert to fraction form
    78.20/106.52 = 77.84/x
  3. Step 3: Cross multiply
    78.20x = 106.52 × 77.84
  4. Step 4: Simplify right side
    78.20x = 8,291.52
  5. Step 5: Solve for x
    x = 8,291.52/78.20
  6. Step 6: Final answer
    x = 106.03

Related Problems

Find fourth proportional to 39.10, 53.26 and 38.92
Half scale
Find fourth proportional to 156.40, 213.04 and 155.68
Double scale
Find fourth proportional to 79.20, 107.88 and 78.84
Similar ratio
Find fourth proportional to 117.30, 159.78 and 116.76
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.