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Finding the Fourth Proportional to 81,979.56, 113,089 and 51,754

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Solution

The fourth proportional to 81,979.56, 113,089 and 51,754 is: 71,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,979.56 : 113,089 = 51,754 : x
  2. Step 2: Convert to fraction form
    81,979.56/113,089 = 51,754/x
  3. Step 3: Cross multiply
    81,979.56x = 113,089 × 51,754
  4. Step 4: Simplify right side
    81,979.56x = 5,852,808,106
  5. Step 5: Solve for x
    x = 5,852,808,106/81,979.56
  6. Step 6: Final answer
    x = 71,393.50

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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.