Home / 114.42-157.84-77.02

Finding the Fourth Proportional to 114.42, 157.84 and 77.02

Calculator

Solution

The fourth proportional to 114.42, 157.84 and 77.02 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.42 : 157.84 = 77.02 : x
  2. Step 2: Convert to fraction form
    114.42/157.84 = 77.02/x
  3. Step 3: Cross multiply
    114.42x = 157.84 × 77.02
  4. Step 4: Simplify right side
    114.42x = 12,156.84
  5. Step 5: Solve for x
    x = 12,156.84/114.42
  6. Step 6: Final answer
    x = 106.25

Related Problems

Find fourth proportional to 57.21, 78.92 and 38.51
Half scale
Find fourth proportional to 228.84, 315.68 and 154.04
Double scale
Find fourth proportional to 115.42, 159.22 and 78.02
Similar ratio
Find fourth proportional to 171.63, 236.76 and 115.53
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.