Home / 102,400-153,600-24,576

Finding the Fourth Proportional to 102,400, 153,600 and 24,576

Calculator

Solution

The fourth proportional to 102,400, 153,600 and 24,576 is: 36,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,400 : 153,600 = 24,576 : x
  2. Step 2: Convert to fraction form
    102,400/153,600 = 24,576/x
  3. Step 3: Cross multiply
    102,400x = 153,600 × 24,576
  4. Step 4: Simplify right side
    102,400x = 3,774,873,600
  5. Step 5: Solve for x
    x = 3,774,873,600/102,400
  6. Step 6: Final answer
    x = 36,864

Related Problems

Find fourth proportional to 51,200, 76,800 and 12,288
Half scale
Find fourth proportional to 204,800, 307,200 and 49,152
Double scale
Find fourth proportional to 102,401, 153,601.50 and 24,577
Similar ratio
Find fourth proportional to 153,600, 230,400 and 36,864
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.