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Finding the Fourth Proportional to 68,480.78, 102,722.51 and 31,033.94

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Solution

The fourth proportional to 68,480.78, 102,722.51 and 31,033.94 is: 46,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480.78 : 102,722.51 = 31,033.94 : x
  2. Step 2: Convert to fraction form
    68,480.78/102,722.51 = 31,033.94/x
  3. Step 3: Cross multiply
    68,480.78x = 102,722.51 × 31,033.94
  4. Step 4: Simplify right side
    68,480.78x = 3,187,883,775.96
  5. Step 5: Solve for x
    x = 3,187,883,775.96/68,480.78
  6. Step 6: Final answer
    x = 46,551.51

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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.