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Finding the Fourth Proportional to 68,658.70, 102,786.45 and 51,205.90

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Solution

The fourth proportional to 68,658.70, 102,786.45 and 51,205.90 is: 76,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,658.70 : 102,786.45 = 51,205.90 : x
  2. Step 2: Convert to fraction form
    68,658.70/102,786.45 = 51,205.90/x
  3. Step 3: Cross multiply
    68,658.70x = 102,786.45 × 51,205.90
  4. Step 4: Simplify right side
    68,658.70x = 5,263,272,680.06
  5. Step 5: Solve for x
    x = 5,263,272,680.06/68,658.70
  6. Step 6: Final answer
    x = 76,658.50

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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.