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Finding the Fourth Proportional to 255,653.50, 383,536.50 and 75,724.96

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Solution

The fourth proportional to 255,653.50, 383,536.50 and 75,724.96 is: 113,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,653.50 : 383,536.50 = 75,724.96 : x
  2. Step 2: Convert to fraction form
    255,653.50/383,536.50 = 75,724.96/x
  3. Step 3: Cross multiply
    255,653.50x = 383,536.50 × 75,724.96
  4. Step 4: Simplify right side
    255,653.50x = 29,043,286,121.04
  5. Step 5: Solve for x
    x = 29,043,286,121.04/255,653.50
  6. Step 6: Final answer
    x = 113,604.10

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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.