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Finding the Fourth Proportional to 68,425.86, 102,624.12 and 39,943.84

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Solution

The fourth proportional to 68,425.86, 102,624.12 and 39,943.84 is: 59,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,425.86 : 102,624.12 = 39,943.84 : x
  2. Step 2: Convert to fraction form
    68,425.86/102,624.12 = 39,943.84/x
  3. Step 3: Cross multiply
    68,425.86x = 102,624.12 × 39,943.84
  4. Step 4: Simplify right side
    68,425.86x = 4,099,201,429.42
  5. Step 5: Solve for x
    x = 4,099,201,429.42/68,425.86
  6. Step 6: Final answer
    x = 59,907.20

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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.