Home / 77.00-106.16-61.47

Finding the Fourth Proportional to 77.00, 106.16 and 61.47

Calculator

Solution

The fourth proportional to 77.00, 106.16 and 61.47 is: 84.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 106.16 = 61.47 : x
  2. Step 2: Convert to fraction form
    77.00/106.16 = 61.47/x
  3. Step 3: Cross multiply
    77.00x = 106.16 × 61.47
  4. Step 4: Simplify right side
    77.00x = 6,525.35
  5. Step 5: Solve for x
    x = 6,525.35/77.00
  6. Step 6: Final answer
    x = 84.75

Related Problems

Find fourth proportional to 38.50, 53.08 and 30.74
Half scale
Find fourth proportional to 153.99, 212.31 and 122.94
Double scale
Find fourth proportional to 78, 107.53 and 62.47
Similar ratio
Find fourth proportional to 115.49, 159.23 and 92.21
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.