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Finding the Fourth Proportional to 81,680.90, 114,469.90 and 81,680.90

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Solution

The fourth proportional to 81,680.90, 114,469.90 and 81,680.90 is: 114,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,680.90 : 114,469.90 = 81,680.90 : x
  2. Step 2: Convert to fraction form
    81,680.90/114,469.90 = 81,680.90/x
  3. Step 3: Cross multiply
    81,680.90x = 114,469.90 × 81,680.90
  4. Step 4: Simplify right side
    81,680.90x = 9,350,004,454.91
  5. Step 5: Solve for x
    x = 9,350,004,454.91/81,680.90
  6. Step 6: Final answer
    x = 114,469.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.