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Finding the Fourth Proportional to 81,653.54, 122,448.82 and 31,727.07

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Solution

The fourth proportional to 81,653.54, 122,448.82 and 31,727.07 is: 47,578.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.54 : 122,448.82 = 31,727.07 : x
  2. Step 2: Convert to fraction form
    81,653.54/122,448.82 = 31,727.07/x
  3. Step 3: Cross multiply
    81,653.54x = 122,448.82 × 31,727.07
  4. Step 4: Simplify right side
    81,653.54x = 3,884,942,283.56
  5. Step 5: Solve for x
    x = 3,884,942,283.56/81,653.54
  6. Step 6: Final answer
    x = 47,578.37

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1.5x scale

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.