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Finding the Fourth Proportional to 255,613.44, 383,420.16 and 78,120.96

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Solution

The fourth proportional to 255,613.44, 383,420.16 and 78,120.96 is: 117,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,613.44 : 383,420.16 = 78,120.96 : x
  2. Step 2: Convert to fraction form
    255,613.44/383,420.16 = 78,120.96/x
  3. Step 3: Cross multiply
    255,613.44x = 383,420.16 × 78,120.96
  4. Step 4: Simplify right side
    255,613.44x = 29,953,150,982.55
  5. Step 5: Solve for x
    x = 29,953,150,982.55/255,613.44
  6. Step 6: Final answer
    x = 117,181.44

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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.