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Finding the Fourth Proportional to 259,881.75, 389,978.15 and 112,137.75

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Solution

The fourth proportional to 259,881.75, 389,978.15 and 112,137.75 is: 168,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,881.75 : 389,978.15 = 112,137.75 : x
  2. Step 2: Convert to fraction form
    259,881.75/389,978.15 = 112,137.75/x
  3. Step 3: Cross multiply
    259,881.75x = 389,978.15 × 112,137.75
  4. Step 4: Simplify right side
    259,881.75x = 43,731,271,729.47
  5. Step 5: Solve for x
    x = 43,731,271,729.47/259,881.75
  6. Step 6: Final answer
    x = 168,273.73

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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.