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Finding the Fourth Proportional to 68,326.68, 102,496.14 and 18,405.66

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Solution

The fourth proportional to 68,326.68, 102,496.14 and 18,405.66 is: 27,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,326.68 : 102,496.14 = 18,405.66 : x
  2. Step 2: Convert to fraction form
    68,326.68/102,496.14 = 18,405.66/x
  3. Step 3: Cross multiply
    68,326.68x = 102,496.14 × 18,405.66
  4. Step 4: Simplify right side
    68,326.68x = 1,886,509,104.15
  5. Step 5: Solve for x
    x = 1,886,509,104.15/68,326.68
  6. Step 6: Final answer
    x = 27,610.14

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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.