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Finding the Fourth Proportional to 45,864, 68,806.32 and 16,281.84

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Solution

The fourth proportional to 45,864, 68,806.32 and 16,281.84 is: 24,426.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864 : 68,806.32 = 16,281.84 : x
  2. Step 2: Convert to fraction form
    45,864/68,806.32 = 16,281.84/x
  3. Step 3: Cross multiply
    45,864x = 68,806.32 × 16,281.84
  4. Step 4: Simplify right side
    45,864x = 1,120,293,493.23
  5. Step 5: Solve for x
    x = 1,120,293,493.23/45,864
  6. Step 6: Final answer
    x = 24,426.42

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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.