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Finding the Fourth Proportional to 225,745.89, 338,615.40 and 54,969.21

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Solution

The fourth proportional to 225,745.89, 338,615.40 and 54,969.21 is: 82,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,745.89 : 338,615.40 = 54,969.21 : x
  2. Step 2: Convert to fraction form
    225,745.89/338,615.40 = 54,969.21/x
  3. Step 3: Cross multiply
    225,745.89x = 338,615.40 × 54,969.21
  4. Step 4: Simplify right side
    225,745.89x = 18,613,421,031.83
  5. Step 5: Solve for x
    x = 18,613,421,031.83/225,745.89
  6. Step 6: Final answer
    x = 82,452.98

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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.