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Finding the Fourth Proportional to 231,717.94, 319,744.32 and 129,729.22

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Solution

The fourth proportional to 231,717.94, 319,744.32 and 129,729.22 is: 179,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,717.94 : 319,744.32 = 129,729.22 : x
  2. Step 2: Convert to fraction form
    231,717.94/319,744.32 = 129,729.22/x
  3. Step 3: Cross multiply
    231,717.94x = 319,744.32 × 129,729.22
  4. Step 4: Simplify right side
    231,717.94x = 41,480,181,233.03
  5. Step 5: Solve for x
    x = 41,480,181,233.03/231,717.94
  6. Step 6: Final answer
    x = 179,011.52

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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.