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Finding the Fourth Proportional to 54,751.23, 82,141.44 and 17,312

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Solution

The fourth proportional to 54,751.23, 82,141.44 and 17,312 is: 25,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,751.23 : 82,141.44 = 17,312 : x
  2. Step 2: Convert to fraction form
    54,751.23/82,141.44 = 17,312/x
  3. Step 3: Cross multiply
    54,751.23x = 82,141.44 × 17,312
  4. Step 4: Simplify right side
    54,751.23x = 1,422,032,609.28
  5. Step 5: Solve for x
    x = 1,422,032,609.28/54,751.23
  6. Step 6: Final answer
    x = 25,972.61

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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.