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Finding the Fourth Proportional to 68,171.94, 102,280.38 and 20,788.98

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Solution

The fourth proportional to 68,171.94, 102,280.38 and 20,788.98 is: 31,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,171.94 : 102,280.38 = 20,788.98 : x
  2. Step 2: Convert to fraction form
    68,171.94/102,280.38 = 20,788.98/x
  3. Step 3: Cross multiply
    68,171.94x = 102,280.38 × 20,788.98
  4. Step 4: Simplify right side
    68,171.94x = 2,126,304,774.21
  5. Step 5: Solve for x
    x = 2,126,304,774.21/68,171.94
  6. Step 6: Final answer
    x = 31,190.32

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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.