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Finding the Fourth Proportional to 231,713.25, 319,736.21 and 129,730.71

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Solution

The fourth proportional to 231,713.25, 319,736.21 and 129,730.71 is: 179,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,713.25 : 319,736.21 = 129,730.71 : x
  2. Step 2: Convert to fraction form
    231,713.25/319,736.21 = 129,730.71/x
  3. Step 3: Cross multiply
    231,713.25x = 319,736.21 × 129,730.71
  4. Step 4: Simplify right side
    231,713.25x = 41,479,604,887.36
  5. Step 5: Solve for x
    x = 41,479,604,887.36/231,713.25
  6. Step 6: Final answer
    x = 179,012.66

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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.