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Finding the Fourth Proportional to 179,756, 248,063.28 and 100,268

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Solution

The fourth proportional to 179,756, 248,063.28 and 100,268 is: 138,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,756 : 248,063.28 = 100,268 : x
  2. Step 2: Convert to fraction form
    179,756/248,063.28 = 100,268/x
  3. Step 3: Cross multiply
    179,756x = 248,063.28 × 100,268
  4. Step 4: Simplify right side
    179,756x = 24,872,808,959.04
  5. Step 5: Solve for x
    x = 24,872,808,959.04/179,756
  6. Step 6: Final answer
    x = 138,369.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.