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Finding the Fourth Proportional to 252,745.80, 379,013.30 and 102,884.36

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Solution

The fourth proportional to 252,745.80, 379,013.30 and 102,884.36 is: 154,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,745.80 : 379,013.30 = 102,884.36 : x
  2. Step 2: Convert to fraction form
    252,745.80/379,013.30 = 102,884.36/x
  3. Step 3: Cross multiply
    252,745.80x = 379,013.30 × 102,884.36
  4. Step 4: Simplify right side
    252,745.80x = 38,994,541,199.63
  5. Step 5: Solve for x
    x = 38,994,541,199.63/252,745.80
  6. Step 6: Final answer
    x = 154,283.64

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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.