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Finding the Fourth Proportional to 258,735.28, 388,119.30 and 81,249.28

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Solution

The fourth proportional to 258,735.28, 388,119.30 and 81,249.28 is: 121,879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,735.28 : 388,119.30 = 81,249.28 : x
  2. Step 2: Convert to fraction form
    258,735.28/388,119.30 = 81,249.28/x
  3. Step 3: Cross multiply
    258,735.28x = 388,119.30 × 81,249.28
  4. Step 4: Simplify right side
    258,735.28x = 31,534,413,679.10
  5. Step 5: Solve for x
    x = 31,534,413,679.10/258,735.28
  6. Step 6: Final answer
    x = 121,879.06

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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.