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Finding the Fourth Proportional to 259,540.83, 389,172.45 and 133,129.41

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Solution

The fourth proportional to 259,540.83, 389,172.45 and 133,129.41 is: 199,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.83 : 389,172.45 = 133,129.41 : x
  2. Step 2: Convert to fraction form
    259,540.83/389,172.45 = 133,129.41/x
  3. Step 3: Cross multiply
    259,540.83x = 389,172.45 × 133,129.41
  4. Step 4: Simplify right side
    259,540.83x = 51,810,298,656.75
  5. Step 5: Solve for x
    x = 51,810,298,656.75/259,540.83
  6. Step 6: Final answer
    x = 199,622.92

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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.