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Finding the Fourth Proportional to 81,969.76, 112,380.97 and 80,475.31

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Solution

The fourth proportional to 81,969.76, 112,380.97 and 80,475.31 is: 110,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,969.76 : 112,380.97 = 80,475.31 : x
  2. Step 2: Convert to fraction form
    81,969.76/112,380.97 = 80,475.31/x
  3. Step 3: Cross multiply
    81,969.76x = 112,380.97 × 80,475.31
  4. Step 4: Simplify right side
    81,969.76x = 9,043,893,398.85
  5. Step 5: Solve for x
    x = 9,043,893,398.85/81,969.76
  6. Step 6: Final answer
    x = 110,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.