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Finding the Fourth Proportional to 195,129, 269,279.64 and 105,705

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Solution

The fourth proportional to 195,129, 269,279.64 and 105,705 is: 145,873.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,129 : 269,279.64 = 105,705 : x
  2. Step 2: Convert to fraction form
    195,129/269,279.64 = 105,705/x
  3. Step 3: Cross multiply
    195,129x = 269,279.64 × 105,705
  4. Step 4: Simplify right side
    195,129x = 28,464,204,346.20
  5. Step 5: Solve for x
    x = 28,464,204,346.20/195,129
  6. Step 6: Final answer
    x = 145,873.78

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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.