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Finding the Fourth Proportional to 179,826, 248,159.88 and 100,338

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Solution

The fourth proportional to 179,826, 248,159.88 and 100,338 is: 138,466.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,826 : 248,159.88 = 100,338 : x
  2. Step 2: Convert to fraction form
    179,826/248,159.88 = 100,338/x
  3. Step 3: Cross multiply
    179,826x = 248,159.88 × 100,338
  4. Step 4: Simplify right side
    179,826x = 24,899,866,039.44
  5. Step 5: Solve for x
    x = 24,899,866,039.44/179,826
  6. Step 6: Final answer
    x = 138,466.44

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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.