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Finding the Fourth Proportional to 82,042.88, 123,064.31 and 26,638.88

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Solution

The fourth proportional to 82,042.88, 123,064.31 and 26,638.88 is: 39,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.88 : 123,064.31 = 26,638.88 : x
  2. Step 2: Convert to fraction form
    82,042.88/123,064.31 = 26,638.88/x
  3. Step 3: Cross multiply
    82,042.88x = 123,064.31 × 26,638.88
  4. Step 4: Simplify right side
    82,042.88x = 3,278,294,837.65
  5. Step 5: Solve for x
    x = 3,278,294,837.65/82,042.88
  6. Step 6: Final answer
    x = 39,958.31

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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.