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Finding the Fourth Proportional to 102,917.62, 154,216.99 and 71,388.97

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Solution

The fourth proportional to 102,917.62, 154,216.99 and 71,388.97 is: 106,972.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,917.62 : 154,216.99 = 71,388.97 : x
  2. Step 2: Convert to fraction form
    102,917.62/154,216.99 = 71,388.97/x
  3. Step 3: Cross multiply
    102,917.62x = 154,216.99 × 71,388.97
  4. Step 4: Simplify right side
    102,917.62x = 11,009,392,072.60
  5. Step 5: Solve for x
    x = 11,009,392,072.60/102,917.62
  6. Step 6: Final answer
    x = 106,972.86

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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.