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Finding the Fourth Proportional to 68,369.50, 102,602.85 and 26,816.50

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Solution

The fourth proportional to 68,369.50, 102,602.85 and 26,816.50 is: 40,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,369.50 : 102,602.85 = 26,816.50 : x
  2. Step 2: Convert to fraction form
    68,369.50/102,602.85 = 26,816.50/x
  3. Step 3: Cross multiply
    68,369.50x = 102,602.85 × 26,816.50
  4. Step 4: Simplify right side
    68,369.50x = 2,751,449,327.03
  5. Step 5: Solve for x
    x = 2,751,449,327.03/68,369.50
  6. Step 6: Final answer
    x = 40,243.81

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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.