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Finding the Fourth Proportional to 231,694.72, 319,739.44 and 129,724.48

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Solution

The fourth proportional to 231,694.72, 319,739.44 and 129,724.48 is: 179,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,694.72 : 319,739.44 = 129,724.48 : x
  2. Step 2: Convert to fraction form
    231,694.72/319,739.44 = 129,724.48/x
  3. Step 3: Cross multiply
    231,694.72x = 319,739.44 × 129,724.48
  4. Step 4: Simplify right side
    231,694.72x = 41,478,032,589.49
  5. Step 5: Solve for x
    x = 41,478,032,589.49/231,694.72
  6. Step 6: Final answer
    x = 179,020.19

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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.