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Finding the Fourth Proportional to 68,315.79, 102,443.57 and 30,874.35

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Solution

The fourth proportional to 68,315.79, 102,443.57 and 30,874.35 is: 46,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,315.79 : 102,443.57 = 30,874.35 : x
  2. Step 2: Convert to fraction form
    68,315.79/102,443.57 = 30,874.35/x
  3. Step 3: Cross multiply
    68,315.79x = 102,443.57 × 30,874.35
  4. Step 4: Simplify right side
    68,315.79x = 3,162,878,481.06
  5. Step 5: Solve for x
    x = 3,162,878,481.06/68,315.79
  6. Step 6: Final answer
    x = 46,297.91

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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.