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Finding the Fourth Proportional to 259,340.25, 389,163.51 and 109,570.89

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Solution

The fourth proportional to 259,340.25, 389,163.51 and 109,570.89 is: 164,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,340.25 : 389,163.51 = 109,570.89 : x
  2. Step 2: Convert to fraction form
    259,340.25/389,163.51 = 109,570.89/x
  3. Step 3: Cross multiply
    259,340.25x = 389,163.51 × 109,570.89
  4. Step 4: Simplify right side
    259,340.25x = 42,640,992,146.22
  5. Step 5: Solve for x
    x = 42,640,992,146.22/259,340.25
  6. Step 6: Final answer
    x = 164,421.03

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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.