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Finding the Fourth Proportional to 179,828, 248,162.64 and 100,340

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Solution

The fourth proportional to 179,828, 248,162.64 and 100,340 is: 138,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,828 : 248,162.64 = 100,340 : x
  2. Step 2: Convert to fraction form
    179,828/248,162.64 = 100,340/x
  3. Step 3: Cross multiply
    179,828x = 248,162.64 × 100,340
  4. Step 4: Simplify right side
    179,828x = 24,900,639,297.60
  5. Step 5: Solve for x
    x = 24,900,639,297.60/179,828
  6. Step 6: Final answer
    x = 138,469.20

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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.