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Finding the Fourth Proportional to 276,080.76, 414,109.09 and 86,536.80

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Solution

The fourth proportional to 276,080.76, 414,109.09 and 86,536.80 is: 129,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,080.76 : 414,109.09 = 86,536.80 : x
  2. Step 2: Convert to fraction form
    276,080.76/414,109.09 = 86,536.80/x
  3. Step 3: Cross multiply
    276,080.76x = 414,109.09 × 86,536.80
  4. Step 4: Simplify right side
    276,080.76x = 35,835,675,607.68
  5. Step 5: Solve for x
    x = 35,835,675,607.68/276,080.76
  6. Step 6: Final answer
    x = 129,801.42

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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.