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Finding the Fourth Proportional to 78,382.49, 108,198.86 and 54,523.01

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Solution

The fourth proportional to 78,382.49, 108,198.86 and 54,523.01 is: 75,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.49 : 108,198.86 = 54,523.01 : x
  2. Step 2: Convert to fraction form
    78,382.49/108,198.86 = 54,523.01/x
  3. Step 3: Cross multiply
    78,382.49x = 108,198.86 × 54,523.01
  4. Step 4: Simplify right side
    78,382.49x = 5,899,327,525.77
  5. Step 5: Solve for x
    x = 5,899,327,525.77/78,382.49
  6. Step 6: Final answer
    x = 75,263.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.