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Finding the Fourth Proportional to 260,907.76, 391,279.72 and 111,146.48

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Solution

The fourth proportional to 260,907.76, 391,279.72 and 111,146.48 is: 166,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,907.76 : 391,279.72 = 111,146.48 : x
  2. Step 2: Convert to fraction form
    260,907.76/391,279.72 = 111,146.48/x
  3. Step 3: Cross multiply
    260,907.76x = 391,279.72 × 111,146.48
  4. Step 4: Simplify right side
    260,907.76x = 43,489,363,573.39
  5. Step 5: Solve for x
    x = 43,489,363,573.39/260,907.76
  6. Step 6: Final answer
    x = 166,684.82

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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.