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Finding the Fourth Proportional to 68,519.52, 102,777.72 and 31,583.52

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Solution

The fourth proportional to 68,519.52, 102,777.72 and 31,583.52 is: 47,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,519.52 : 102,777.72 = 31,583.52 : x
  2. Step 2: Convert to fraction form
    68,519.52/102,777.72 = 31,583.52/x
  3. Step 3: Cross multiply
    68,519.52x = 102,777.72 × 31,583.52
  4. Step 4: Simplify right side
    68,519.52x = 3,246,082,175.17
  5. Step 5: Solve for x
    x = 3,246,082,175.17/68,519.52
  6. Step 6: Final answer
    x = 47,374.56

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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.