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Finding the Fourth Proportional to 81,653.54, 122,448.69 and 31,727.03

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Solution

The fourth proportional to 81,653.54, 122,448.69 and 31,727.03 is: 47,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.54 : 122,448.69 = 31,727.03 : x
  2. Step 2: Convert to fraction form
    81,653.54/122,448.69 = 31,727.03/x
  3. Step 3: Cross multiply
    81,653.54x = 122,448.69 × 31,727.03
  4. Step 4: Simplify right side
    81,653.54x = 3,884,932,648.85
  5. Step 5: Solve for x
    x = 3,884,932,648.85/81,653.54
  6. Step 6: Final answer
    x = 47,578.25

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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.