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Finding the Fourth Proportional to 68,630.20, 102,896.70 and 31,208.20

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Solution

The fourth proportional to 68,630.20, 102,896.70 and 31,208.20 is: 46,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,630.20 : 102,896.70 = 31,208.20 : x
  2. Step 2: Convert to fraction form
    68,630.20/102,896.70 = 31,208.20/x
  3. Step 3: Cross multiply
    68,630.20x = 102,896.70 × 31,208.20
  4. Step 4: Simplify right side
    68,630.20x = 3,211,220,792.94
  5. Step 5: Solve for x
    x = 3,211,220,792.94/68,630.20
  6. Step 6: Final answer
    x = 46,790.20

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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.