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Finding the Fourth Proportional to 76,103.38, 114,194.45 and 55,215.83

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Solution

The fourth proportional to 76,103.38, 114,194.45 and 55,215.83 is: 82,852.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,103.38 : 114,194.45 = 55,215.83 : x
  2. Step 2: Convert to fraction form
    76,103.38/114,194.45 = 55,215.83/x
  3. Step 3: Cross multiply
    76,103.38x = 114,194.45 × 55,215.83
  4. Step 4: Simplify right side
    76,103.38x = 6,305,341,338.14
  5. Step 5: Solve for x
    x = 6,305,341,338.14/76,103.38
  6. Step 6: Final answer
    x = 82,852.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.