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Finding the Fourth Proportional to 81,085.20, 121,336.20 and 54,841.20

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Solution

The fourth proportional to 81,085.20, 121,336.20 and 54,841.20 is: 82,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,085.20 : 121,336.20 = 54,841.20 : x
  2. Step 2: Convert to fraction form
    81,085.20/121,336.20 = 54,841.20/x
  3. Step 3: Cross multiply
    81,085.20x = 121,336.20 × 54,841.20
  4. Step 4: Simplify right side
    81,085.20x = 6,654,222,811.44
  5. Step 5: Solve for x
    x = 6,654,222,811.44/81,085.20
  6. Step 6: Final answer
    x = 82,064.58

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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.