Home / 142.24-213.28-78.16

Finding the Fourth Proportional to 142.24, 213.28 and 78.16

Calculator

Solution

The fourth proportional to 142.24, 213.28 and 78.16 is: 117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 213.28 = 78.16 : x
  2. Step 2: Convert to fraction form
    142.24/213.28 = 78.16/x
  3. Step 3: Cross multiply
    142.24x = 213.28 × 78.16
  4. Step 4: Simplify right side
    142.24x = 16,669.96
  5. Step 5: Solve for x
    x = 16,669.96/142.24
  6. Step 6: Final answer
    x = 117.20

Related Problems

Find fourth proportional to 71.12, 106.64 and 39.08
Half scale
Find fourth proportional to 284.48, 426.56 and 156.32
Double scale
Find fourth proportional to 143.24, 214.78 and 79.16
Similar ratio
Find fourth proportional to 213.36, 319.92 and 117.24
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.