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Finding the Fourth Proportional to 255,837.76, 383,757.57 and 78,344.05

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Solution

The fourth proportional to 255,837.76, 383,757.57 and 78,344.05 is: 117,516.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,837.76 : 383,757.57 = 78,344.05 : x
  2. Step 2: Convert to fraction form
    255,837.76/383,757.57 = 78,344.05/x
  3. Step 3: Cross multiply
    255,837.76x = 383,757.57 × 78,344.05
  4. Step 4: Simplify right side
    255,837.76x = 30,065,122,251.96
  5. Step 5: Solve for x
    x = 30,065,122,251.96/255,837.76
  6. Step 6: Final answer
    x = 117,516.36

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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.