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Finding the Fourth Proportional to 255,712.40, 383,568.60 and 68,742.80

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Solution

The fourth proportional to 255,712.40, 383,568.60 and 68,742.80 is: 103,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,712.40 : 383,568.60 = 68,742.80 : x
  2. Step 2: Convert to fraction form
    255,712.40/383,568.60 = 68,742.80/x
  3. Step 3: Cross multiply
    255,712.40x = 383,568.60 × 68,742.80
  4. Step 4: Simplify right side
    255,712.40x = 26,367,579,556.08
  5. Step 5: Solve for x
    x = 26,367,579,556.08/255,712.40
  6. Step 6: Final answer
    x = 103,114.20

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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.