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Finding the Fourth Proportional to 68,230.51, 102,361.32 and 20,852.33

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Solution

The fourth proportional to 68,230.51, 102,361.32 and 20,852.33 is: 31,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,230.51 : 102,361.32 = 20,852.33 : x
  2. Step 2: Convert to fraction form
    68,230.51/102,361.32 = 20,852.33/x
  3. Step 3: Cross multiply
    68,230.51x = 102,361.32 × 20,852.33
  4. Step 4: Simplify right side
    68,230.51x = 2,134,471,512.07
  5. Step 5: Solve for x
    x = 2,134,471,512.07/68,230.51
  6. Step 6: Final answer
    x = 31,283.24

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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.