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Finding the Fourth Proportional to 68,396.40, 102,361.20 and 57,315.60

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Solution

The fourth proportional to 68,396.40, 102,361.20 and 57,315.60 is: 85,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,396.40 : 102,361.20 = 57,315.60 : x
  2. Step 2: Convert to fraction form
    68,396.40/102,361.20 = 57,315.60/x
  3. Step 3: Cross multiply
    68,396.40x = 102,361.20 × 57,315.60
  4. Step 4: Simplify right side
    68,396.40x = 5,866,893,594.72
  5. Step 5: Solve for x
    x = 5,866,893,594.72/68,396.40
  6. Step 6: Final answer
    x = 85,777.81

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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.