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Finding the Fourth Proportional to 255,837.49, 383,774.67 and 78,321.42

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Solution

The fourth proportional to 255,837.49, 383,774.67 and 78,321.42 is: 117,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,837.49 : 383,774.67 = 78,321.42 : x
  2. Step 2: Convert to fraction form
    255,837.49/383,774.67 = 78,321.42/x
  3. Step 3: Cross multiply
    255,837.49x = 383,774.67 × 78,321.42
  4. Step 4: Simplify right side
    255,837.49x = 30,057,777,114.43
  5. Step 5: Solve for x
    x = 30,057,777,114.43/255,837.49
  6. Step 6: Final answer
    x = 117,487.77

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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.