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Finding the Fourth Proportional to 259,805.36, 389,732.88 and 72,816.32

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Solution

The fourth proportional to 259,805.36, 389,732.88 and 72,816.32 is: 109,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,805.36 : 389,732.88 = 72,816.32 : x
  2. Step 2: Convert to fraction form
    259,805.36/389,732.88 = 72,816.32/x
  3. Step 3: Cross multiply
    259,805.36x = 389,732.88 × 72,816.32
  4. Step 4: Simplify right side
    259,805.36x = 28,378,914,104.60
  5. Step 5: Solve for x
    x = 28,378,914,104.60/259,805.36
  6. Step 6: Final answer
    x = 109,231.44

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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.