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Finding the Fourth Proportional to 255,408.74, 383,173.14 and 77,915.78

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Solution

The fourth proportional to 255,408.74, 383,173.14 and 77,915.78 is: 116,891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,408.74 : 383,173.14 = 77,915.78 : x
  2. Step 2: Convert to fraction form
    255,408.74/383,173.14 = 77,915.78/x
  3. Step 3: Cross multiply
    255,408.74x = 383,173.14 × 77,915.78
  4. Step 4: Simplify right side
    255,408.74x = 29,855,234,078.15
  5. Step 5: Solve for x
    x = 29,855,234,078.15/255,408.74
  6. Step 6: Final answer
    x = 116,891.98

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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.