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Finding the Fourth Proportional to 109,830.30, 164,939.85 and 84,930.90

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Solution

The fourth proportional to 109,830.30, 164,939.85 and 84,930.90 is: 127,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,830.30 : 164,939.85 = 84,930.90 : x
  2. Step 2: Convert to fraction form
    109,830.30/164,939.85 = 84,930.90/x
  3. Step 3: Cross multiply
    109,830.30x = 164,939.85 × 84,930.90
  4. Step 4: Simplify right side
    109,830.30x = 14,008,489,906.37
  5. Step 5: Solve for x
    x = 14,008,489,906.37/109,830.30
  6. Step 6: Final answer
    x = 127,546.68

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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.