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Finding the Fourth Proportional to 68,238, 102,342.88 and 18,306.26

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Solution

The fourth proportional to 68,238, 102,342.88 and 18,306.26 is: 27,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,238 : 102,342.88 = 18,306.26 : x
  2. Step 2: Convert to fraction form
    68,238/102,342.88 = 18,306.26/x
  3. Step 3: Cross multiply
    68,238x = 102,342.88 × 18,306.26
  4. Step 4: Simplify right side
    68,238x = 1,873,515,370.43
  5. Step 5: Solve for x
    x = 1,873,515,370.43/68,238
  6. Step 6: Final answer
    x = 27,455.60

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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.