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Finding the Fourth Proportional to 68,064.60, 102,101.78 and 18,144.44

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Solution

The fourth proportional to 68,064.60, 102,101.78 and 18,144.44 is: 27,217.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064.60 : 102,101.78 = 18,144.44 : x
  2. Step 2: Convert to fraction form
    68,064.60/102,101.78 = 18,144.44/x
  3. Step 3: Cross multiply
    68,064.60x = 102,101.78 × 18,144.44
  4. Step 4: Simplify right side
    68,064.60x = 1,852,579,538.84
  5. Step 5: Solve for x
    x = 1,852,579,538.84/68,064.60
  6. Step 6: Final answer
    x = 27,217.96

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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.