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Finding the Fourth Proportional to 263,814.68, 395,758.98 and 86,335.64

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Solution

The fourth proportional to 263,814.68, 395,758.98 and 86,335.64 is: 129,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,814.68 : 395,758.98 = 86,335.64 : x
  2. Step 2: Convert to fraction form
    263,814.68/395,758.98 = 86,335.64/x
  3. Step 3: Cross multiply
    263,814.68x = 395,758.98 × 86,335.64
  4. Step 4: Simplify right side
    263,814.68x = 34,168,104,824.05
  5. Step 5: Solve for x
    x = 34,168,104,824.05/263,814.68
  6. Step 6: Final answer
    x = 129,515.56

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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.