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Finding the Fourth Proportional to 260,905.76, 391,276.72 and 111,144.48

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Solution

The fourth proportional to 260,905.76, 391,276.72 and 111,144.48 is: 166,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,905.76 : 391,276.72 = 111,144.48 : x
  2. Step 2: Convert to fraction form
    260,905.76/391,276.72 = 111,144.48/x
  3. Step 3: Cross multiply
    260,905.76x = 391,276.72 × 111,144.48
  4. Step 4: Simplify right side
    260,905.76x = 43,488,247,580.51
  5. Step 5: Solve for x
    x = 43,488,247,580.51/260,905.76
  6. Step 6: Final answer
    x = 166,681.82

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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.