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Finding the Fourth Proportional to 259,556.34, 389,334.87 and 72,567.66

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Solution

The fourth proportional to 259,556.34, 389,334.87 and 72,567.66 is: 108,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,556.34 : 389,334.87 = 72,567.66 : x
  2. Step 2: Convert to fraction form
    259,556.34/389,334.87 = 72,567.66/x
  3. Step 3: Cross multiply
    259,556.34x = 389,334.87 × 72,567.66
  4. Step 4: Simplify right side
    259,556.34x = 28,253,120,472.30
  5. Step 5: Solve for x
    x = 28,253,120,472.30/259,556.34
  6. Step 6: Final answer
    x = 108,851.59

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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.