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Finding the Fourth Proportional to 253,674.21, 380,511.06 and 103,914.78

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Solution

The fourth proportional to 253,674.21, 380,511.06 and 103,914.78 is: 155,872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,674.21 : 380,511.06 = 103,914.78 : x
  2. Step 2: Convert to fraction form
    253,674.21/380,511.06 = 103,914.78/x
  3. Step 3: Cross multiply
    253,674.21x = 380,511.06 × 103,914.78
  4. Step 4: Simplify right side
    253,674.21x = 39,540,723,087.47
  5. Step 5: Solve for x
    x = 39,540,723,087.47/253,674.21
  6. Step 6: Final answer
    x = 155,872.07

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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.