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Finding the Fourth Proportional to 258,208.76, 356,395.76 and 145,067.96

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Solution

The fourth proportional to 258,208.76, 356,395.76 and 145,067.96 is: 200,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,208.76 : 356,395.76 = 145,067.96 : x
  2. Step 2: Convert to fraction form
    258,208.76/356,395.76 = 145,067.96/x
  3. Step 3: Cross multiply
    258,208.76x = 356,395.76 × 145,067.96
  4. Step 4: Simplify right side
    258,208.76x = 51,701,605,855.85
  5. Step 5: Solve for x
    x = 51,701,605,855.85/258,208.76
  6. Step 6: Final answer
    x = 200,231.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.