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Finding the Fourth Proportional to 259,866.14, 389,954.70 and 112,122.14

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Solution

The fourth proportional to 259,866.14, 389,954.70 and 112,122.14 is: 168,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866.14 : 389,954.70 = 112,122.14 : x
  2. Step 2: Convert to fraction form
    259,866.14/389,954.70 = 112,122.14/x
  3. Step 3: Cross multiply
    259,866.14x = 389,954.70 × 112,122.14
  4. Step 4: Simplify right side
    259,866.14x = 43,722,555,467.06
  5. Step 5: Solve for x
    x = 43,722,555,467.06/259,866.14
  6. Step 6: Final answer
    x = 168,250.30

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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.