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Finding the Fourth Proportional to 85,294.91, 127,947.42 and 26,131.16

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Solution

The fourth proportional to 85,294.91, 127,947.42 and 26,131.16 is: 39,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.91 : 127,947.42 = 26,131.16 : x
  2. Step 2: Convert to fraction form
    85,294.91/127,947.42 = 26,131.16/x
  3. Step 3: Cross multiply
    85,294.91x = 127,947.42 × 26,131.16
  4. Step 4: Simplify right side
    85,294.91x = 3,343,413,863.87
  5. Step 5: Solve for x
    x = 3,343,413,863.87/85,294.91
  6. Step 6: Final answer
    x = 39,198.28

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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.