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Finding the Fourth Proportional to 68,382.63, 102,375.90 and 42,007.41

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Solution

The fourth proportional to 68,382.63, 102,375.90 and 42,007.41 is: 62,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,382.63 : 102,375.90 = 42,007.41 : x
  2. Step 2: Convert to fraction form
    68,382.63/102,375.90 = 42,007.41/x
  3. Step 3: Cross multiply
    68,382.63x = 102,375.90 × 42,007.41
  4. Step 4: Simplify right side
    68,382.63x = 4,300,546,405.42
  5. Step 5: Solve for x
    x = 4,300,546,405.42/68,382.63
  6. Step 6: Final answer
    x = 62,889.46

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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.