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Finding the Fourth Proportional to 255,882.25, 383,823.38 and 68,893.75

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Solution

The fourth proportional to 255,882.25, 383,823.38 and 68,893.75 is: 103,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,882.25 : 383,823.38 = 68,893.75 : x
  2. Step 2: Convert to fraction form
    255,882.25/383,823.38 = 68,893.75/x
  3. Step 3: Cross multiply
    255,882.25x = 383,823.38 × 68,893.75
  4. Step 4: Simplify right side
    255,882.25x = 26,443,031,985.88
  5. Step 5: Solve for x
    x = 26,443,031,985.88/255,882.25
  6. Step 6: Final answer
    x = 103,340.63

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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.