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Finding the Fourth Proportional to 259,852.95, 389,790.36 and 82,356.03

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Solution

The fourth proportional to 259,852.95, 389,790.36 and 82,356.03 is: 123,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,852.95 : 389,790.36 = 82,356.03 : x
  2. Step 2: Convert to fraction form
    259,852.95/389,790.36 = 82,356.03/x
  3. Step 3: Cross multiply
    259,852.95x = 389,790.36 × 82,356.03
  4. Step 4: Simplify right side
    259,852.95x = 32,101,586,581.87
  5. Step 5: Solve for x
    x = 32,101,586,581.87/259,852.95
  6. Step 6: Final answer
    x = 123,537.51

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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.