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Finding the Fourth Proportional to 263,566.26, 395,373.68 and 86,074.20

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Solution

The fourth proportional to 263,566.26, 395,373.68 and 86,074.20 is: 129,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,566.26 : 395,373.68 = 86,074.20 : x
  2. Step 2: Convert to fraction form
    263,566.26/395,373.68 = 86,074.20/x
  3. Step 3: Cross multiply
    263,566.26x = 395,373.68 × 86,074.20
  4. Step 4: Simplify right side
    263,566.26x = 34,031,472,776.69
  5. Step 5: Solve for x
    x = 34,031,472,776.69/263,566.26
  6. Step 6: Final answer
    x = 129,119.23

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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.