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Finding the Fourth Proportional to 68,676.84, 102,990.78 and 31,205.52

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Solution

The fourth proportional to 68,676.84, 102,990.78 and 31,205.52 is: 46,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,676.84 : 102,990.78 = 31,205.52 : x
  2. Step 2: Convert to fraction form
    68,676.84/102,990.78 = 31,205.52/x
  3. Step 3: Cross multiply
    68,676.84x = 102,990.78 × 31,205.52
  4. Step 4: Simplify right side
    68,676.84x = 3,213,880,845.11
  5. Step 5: Solve for x
    x = 3,213,880,845.11/68,676.84
  6. Step 6: Final answer
    x = 46,797.16

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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.