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Finding the Fourth Proportional to 258,546.80, 387,819.48 and 81,054.56

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Solution

The fourth proportional to 258,546.80, 387,819.48 and 81,054.56 is: 121,581.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546.80 : 387,819.48 = 81,054.56 : x
  2. Step 2: Convert to fraction form
    258,546.80/387,819.48 = 81,054.56/x
  3. Step 3: Cross multiply
    258,546.80x = 387,819.48 × 81,054.56
  4. Step 4: Simplify right side
    258,546.80x = 31,434,537,310.83
  5. Step 5: Solve for x
    x = 31,434,537,310.83/258,546.80
  6. Step 6: Final answer
    x = 121,581.61

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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.