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Finding the Fourth Proportional to 255,596.20, 383,106.30 and 122,540.20

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Solution

The fourth proportional to 255,596.20, 383,106.30 and 122,540.20 is: 183,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,596.20 : 383,106.30 = 122,540.20 : x
  2. Step 2: Convert to fraction form
    255,596.20/383,106.30 = 122,540.20/x
  3. Step 3: Cross multiply
    255,596.20x = 383,106.30 × 122,540.20
  4. Step 4: Simplify right side
    255,596.20x = 46,945,922,623.26
  5. Step 5: Solve for x
    x = 46,945,922,623.26/255,596.20
  6. Step 6: Final answer
    x = 183,672.22

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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.