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Finding the Fourth Proportional to 68,504.40, 102,755.14 and 31,568.40

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Solution

The fourth proportional to 68,504.40, 102,755.14 and 31,568.40 is: 47,351.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,504.40 : 102,755.14 = 31,568.40 : x
  2. Step 2: Convert to fraction form
    68,504.40/102,755.14 = 31,568.40/x
  3. Step 3: Cross multiply
    68,504.40x = 102,755.14 × 31,568.40
  4. Step 4: Simplify right side
    68,504.40x = 3,243,815,361.58
  5. Step 5: Solve for x
    x = 3,243,815,361.58/68,504.40
  6. Step 6: Final answer
    x = 47,351.93

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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.