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Finding the Fourth Proportional to 231,617, 319,640.10 and 131,012.84

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Solution

The fourth proportional to 231,617, 319,640.10 and 131,012.84 is: 180,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,617 : 319,640.10 = 131,012.84 : x
  2. Step 2: Convert to fraction form
    231,617/319,640.10 = 131,012.84/x
  3. Step 3: Cross multiply
    231,617x = 319,640.10 × 131,012.84
  4. Step 4: Simplify right side
    231,617x = 41,876,957,278.88
  5. Step 5: Solve for x
    x = 41,876,957,278.88/231,617
  6. Step 6: Final answer
    x = 180,802.61

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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.