Home / 119.64-165.04-78.20

Finding the Fourth Proportional to 119.64, 165.04 and 78.20

Calculator

Solution

The fourth proportional to 119.64, 165.04 and 78.20 is: 107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.64 : 165.04 = 78.20 : x
  2. Step 2: Convert to fraction form
    119.64/165.04 = 78.20/x
  3. Step 3: Cross multiply
    119.64x = 165.04 × 78.20
  4. Step 4: Simplify right side
    119.64x = 12,905.73
  5. Step 5: Solve for x
    x = 12,905.73/119.64
  6. Step 6: Final answer
    x = 107.87

Related Problems

Find fourth proportional to 59.82, 82.52 and 39.10
Half scale
Find fourth proportional to 239.29, 330.08 and 156.40
Double scale
Find fourth proportional to 120.64, 166.42 and 79.20
Similar ratio
Find fourth proportional to 179.47, 247.56 and 117.30
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.