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Finding the Fourth Proportional to 231,651.69, 319,684.74 and 129,674.61

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Solution

The fourth proportional to 231,651.69, 319,684.74 and 129,674.61 is: 178,953.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,651.69 : 319,684.74 = 129,674.61 : x
  2. Step 2: Convert to fraction form
    231,651.69/319,684.74 = 129,674.61/x
  3. Step 3: Cross multiply
    231,651.69x = 319,684.74 × 129,674.61
  4. Step 4: Simplify right side
    231,651.69x = 41,454,993,982.45
  5. Step 5: Solve for x
    x = 41,454,993,982.45/231,651.69
  6. Step 6: Final answer
    x = 178,953.99

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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.