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Finding the Fourth Proportional to 259,512.29, 389,129.69 and 133,100.96

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Solution

The fourth proportional to 259,512.29, 389,129.69 and 133,100.96 is: 199,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,512.29 : 389,129.69 = 133,100.96 : x
  2. Step 2: Convert to fraction form
    259,512.29/389,129.69 = 133,100.96/x
  3. Step 3: Cross multiply
    259,512.29x = 389,129.69 × 133,100.96
  4. Step 4: Simplify right side
    259,512.29x = 51,793,532,692.35
  5. Step 5: Solve for x
    x = 51,793,532,692.35/259,512.29
  6. Step 6: Final answer
    x = 199,580.27

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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.