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Finding the Fourth Proportional to 81,764.48, 112,839 and 49,928.24

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Solution

The fourth proportional to 81,764.48, 112,839 and 49,928.24 is: 68,903.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,764.48 : 112,839 = 49,928.24 : x
  2. Step 2: Convert to fraction form
    81,764.48/112,839 = 49,928.24/x
  3. Step 3: Cross multiply
    81,764.48x = 112,839 × 49,928.24
  4. Step 4: Simplify right side
    81,764.48x = 5,633,852,673.36
  5. Step 5: Solve for x
    x = 5,633,852,673.36/81,764.48
  6. Step 6: Final answer
    x = 68,903.42

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1.5x scale

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.