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Finding the Fourth Proportional to 76,081.36, 114,078.84 and 63,678.64

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Solution

The fourth proportional to 76,081.36, 114,078.84 and 63,678.64 is: 95,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,081.36 : 114,078.84 = 63,678.64 : x
  2. Step 2: Convert to fraction form
    76,081.36/114,078.84 = 63,678.64/x
  3. Step 3: Cross multiply
    76,081.36x = 114,078.84 × 63,678.64
  4. Step 4: Simplify right side
    76,081.36x = 7,264,385,383.98
  5. Step 5: Solve for x
    x = 7,264,385,383.98/76,081.36
  6. Step 6: Final answer
    x = 95,481.80

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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.