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Finding the Fourth Proportional to 68,676.20, 102,812.70 and 51,223.40

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Solution

The fourth proportional to 68,676.20, 102,812.70 and 51,223.40 is: 76,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676.20 : 102,812.70 = 51,223.40 : x
  2. Step 2: Convert to fraction form
    68,676.20/102,812.70 = 51,223.40/x
  3. Step 3: Cross multiply
    68,676.20x = 102,812.70 × 51,223.40
  4. Step 4: Simplify right side
    68,676.20x = 5,266,416,057.18
  5. Step 5: Solve for x
    x = 5,266,416,057.18/68,676.20
  6. Step 6: Final answer
    x = 76,684.73

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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.