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Finding the Fourth Proportional to 259,532.36, 389,264.88 and 82,057.28

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Solution

The fourth proportional to 259,532.36, 389,264.88 and 82,057.28 is: 123,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,532.36 : 389,264.88 = 82,057.28 : x
  2. Step 2: Convert to fraction form
    259,532.36/389,264.88 = 82,057.28/x
  3. Step 3: Cross multiply
    259,532.36x = 389,264.88 × 82,057.28
  4. Step 4: Simplify right side
    259,532.36x = 31,942,017,252.33
  5. Step 5: Solve for x
    x = 31,942,017,252.33/259,532.36
  6. Step 6: Final answer
    x = 123,075.28

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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.