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Finding the Fourth Proportional to 81,958.90, 122,938.35 and 81,181.30

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Solution

The fourth proportional to 81,958.90, 122,938.35 and 81,181.30 is: 121,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,958.90 : 122,938.35 = 81,181.30 : x
  2. Step 2: Convert to fraction form
    81,958.90/122,938.35 = 81,181.30/x
  3. Step 3: Cross multiply
    81,958.90x = 122,938.35 × 81,181.30
  4. Step 4: Simplify right side
    81,958.90x = 9,980,295,072.86
  5. Step 5: Solve for x
    x = 9,980,295,072.86/81,958.90
  6. Step 6: Final answer
    x = 121,771.95

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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.