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Finding the Fourth Proportional to 78,382.08, 108,108 and 54,496.80

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Solution

The fourth proportional to 78,382.08, 108,108 and 54,496.80 is: 75,164.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.08 : 108,108 = 54,496.80 : x
  2. Step 2: Convert to fraction form
    78,382.08/108,108 = 54,496.80/x
  3. Step 3: Cross multiply
    78,382.08x = 108,108 × 54,496.80
  4. Step 4: Simplify right side
    78,382.08x = 5,891,540,054.40
  5. Step 5: Solve for x
    x = 5,891,540,054.40/78,382.08
  6. Step 6: Final answer
    x = 75,164.38

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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.