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Finding the Fourth Proportional to 109,906.30, 164,665.05 and 102,907.90

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Solution

The fourth proportional to 109,906.30, 164,665.05 and 102,907.90 is: 154,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.30 : 164,665.05 = 102,907.90 : x
  2. Step 2: Convert to fraction form
    109,906.30/164,665.05 = 102,907.90/x
  3. Step 3: Cross multiply
    109,906.30x = 164,665.05 × 102,907.90
  4. Step 4: Simplify right side
    109,906.30x = 16,945,334,498.90
  5. Step 5: Solve for x
    x = 16,945,334,498.90/109,906.30
  6. Step 6: Final answer
    x = 154,179.83

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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.