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Finding the Fourth Proportional to 68,255.84, 102,318 and 34,991.52

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Solution

The fourth proportional to 68,255.84, 102,318 and 34,991.52 is: 52,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,255.84 : 102,318 = 34,991.52 : x
  2. Step 2: Convert to fraction form
    68,255.84/102,318 = 34,991.52/x
  3. Step 3: Cross multiply
    68,255.84x = 102,318 × 34,991.52
  4. Step 4: Simplify right side
    68,255.84x = 3,580,262,343.36
  5. Step 5: Solve for x
    x = 3,580,262,343.36/68,255.84
  6. Step 6: Final answer
    x = 52,453.57

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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.