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Finding the Fourth Proportional to 51,194.90, 76,786.90 and 17,915.60

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Solution

The fourth proportional to 51,194.90, 76,786.90 and 17,915.60 is: 26,871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194.90 : 76,786.90 = 17,915.60 : x
  2. Step 2: Convert to fraction form
    51,194.90/76,786.90 = 17,915.60/x
  3. Step 3: Cross multiply
    51,194.90x = 76,786.90 × 17,915.60
  4. Step 4: Simplify right side
    51,194.90x = 1,375,683,532.82
  5. Step 5: Solve for x
    x = 1,375,683,532.82/51,194.90
  6. Step 6: Final answer
    x = 26,871.49

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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.