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Finding the Fourth Proportional to 45,705.68, 68,550.84 and 12,866

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Solution

The fourth proportional to 45,705.68, 68,550.84 and 12,866 is: 19,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,705.68 : 68,550.84 = 12,866 : x
  2. Step 2: Convert to fraction form
    45,705.68/68,550.84 = 12,866/x
  3. Step 3: Cross multiply
    45,705.68x = 68,550.84 × 12,866
  4. Step 4: Simplify right side
    45,705.68x = 881,975,107.44
  5. Step 5: Solve for x
    x = 881,975,107.44/45,705.68
  6. Step 6: Final answer
    x = 19,296.84

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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.