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Finding the Fourth Proportional to 102,698.64, 154,048.20 and 27,819.24

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Solution

The fourth proportional to 102,698.64, 154,048.20 and 27,819.24 is: 41,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,698.64 : 154,048.20 = 27,819.24 : x
  2. Step 2: Convert to fraction form
    102,698.64/154,048.20 = 27,819.24/x
  3. Step 3: Cross multiply
    102,698.64x = 154,048.20 × 27,819.24
  4. Step 4: Simplify right side
    102,698.64x = 4,285,503,847.37
  5. Step 5: Solve for x
    x = 4,285,503,847.37/102,698.64
  6. Step 6: Final answer
    x = 41,728.93

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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.