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Finding the Fourth Proportional to 86,538.30, 129,819.60 and 27,367.80

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Solution

The fourth proportional to 86,538.30, 129,819.60 and 27,367.80 is: 41,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,538.30 : 129,819.60 = 27,367.80 : x
  2. Step 2: Convert to fraction form
    86,538.30/129,819.60 = 27,367.80/x
  3. Step 3: Cross multiply
    86,538.30x = 129,819.60 × 27,367.80
  4. Step 4: Simplify right side
    86,538.30x = 3,552,876,848.88
  5. Step 5: Solve for x
    x = 3,552,876,848.88/86,538.30
  6. Step 6: Final answer
    x = 41,055.54

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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.