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Finding the Fourth Proportional to 68,314.91, 102,442.26 and 30,873.47

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Solution

The fourth proportional to 68,314.91, 102,442.26 and 30,873.47 is: 46,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.91 : 102,442.26 = 30,873.47 : x
  2. Step 2: Convert to fraction form
    68,314.91/102,442.26 = 30,873.47/x
  3. Step 3: Cross multiply
    68,314.91x = 102,442.26 × 30,873.47
  4. Step 4: Simplify right side
    68,314.91x = 3,162,747,528.63
  5. Step 5: Solve for x
    x = 3,162,747,528.63/68,314.91
  6. Step 6: Final answer
    x = 46,296.60

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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.