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Finding the Fourth Proportional to 258,546.56, 387,824.64 and 81,049.60

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Solution

The fourth proportional to 258,546.56, 387,824.64 and 81,049.60 is: 121,575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,546.56 : 387,824.64 = 81,049.60 : x
  2. Step 2: Convert to fraction form
    258,546.56/387,824.64 = 81,049.60/x
  3. Step 3: Cross multiply
    258,546.56x = 387,824.64 × 81,049.60
  4. Step 4: Simplify right side
    258,546.56x = 31,433,031,942.14
  5. Step 5: Solve for x
    x = 31,433,031,942.14/258,546.56
  6. Step 6: Final answer
    x = 121,575.90

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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.