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Finding the Fourth Proportional to 82,078.39, 113,311.00 and 58,261.96

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Solution

The fourth proportional to 82,078.39, 113,311.00 and 58,261.96 is: 80,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.39 : 113,311.00 = 58,261.96 : x
  2. Step 2: Convert to fraction form
    82,078.39/113,311.00 = 58,261.96/x
  3. Step 3: Cross multiply
    82,078.39x = 113,311.00 × 58,261.96
  4. Step 4: Simplify right side
    82,078.39x = 6,601,720,845.34
  5. Step 5: Solve for x
    x = 6,601,720,845.34/82,078.39
  6. Step 6: Final answer
    x = 80,431.90

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