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Finding the Fourth Proportional to 68,170.83, 102,208.78 and 30,199.49

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Solution

The fourth proportional to 68,170.83, 102,208.78 and 30,199.49 is: 45,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,170.83 : 102,208.78 = 30,199.49 : x
  2. Step 2: Convert to fraction form
    68,170.83/102,208.78 = 30,199.49/x
  3. Step 3: Cross multiply
    68,170.83x = 102,208.78 × 30,199.49
  4. Step 4: Simplify right side
    68,170.83x = 3,086,653,029.52
  5. Step 5: Solve for x
    x = 3,086,653,029.52/68,170.83
  6. Step 6: Final answer
    x = 45,278.21

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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.