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Finding the Fourth Proportional to 263,717.76, 395,614.35 and 81,364.01

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Solution

The fourth proportional to 263,717.76, 395,614.35 and 81,364.01 is: 122,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,717.76 : 395,614.35 = 81,364.01 : x
  2. Step 2: Convert to fraction form
    263,717.76/395,614.35 = 81,364.01/x
  3. Step 3: Cross multiply
    263,717.76x = 395,614.35 × 81,364.01
  4. Step 4: Simplify right side
    263,717.76x = 32,188,767,951.47
  5. Step 5: Solve for x
    x = 32,188,767,951.47/263,717.76
  6. Step 6: Final answer
    x = 122,057.64

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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.