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Finding the Fourth Proportional to 261,054.26, 391,608.72 and 111,310.37

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Solution

The fourth proportional to 261,054.26, 391,608.72 and 111,310.37 is: 166,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,054.26 : 391,608.72 = 111,310.37 : x
  2. Step 2: Convert to fraction form
    261,054.26/391,608.72 = 111,310.37/x
  3. Step 3: Cross multiply
    261,054.26x = 391,608.72 × 111,310.37
  4. Step 4: Simplify right side
    261,054.26x = 43,590,109,560.38
  5. Step 5: Solve for x
    x = 43,590,109,560.38/261,054.26
  6. Step 6: Final answer
    x = 166,977.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.