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Finding the Fourth Proportional to 81,687.87, 112,752.54 and 47,704.32

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Solution

The fourth proportional to 81,687.87, 112,752.54 and 47,704.32 is: 65,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,687.87 : 112,752.54 = 47,704.32 : x
  2. Step 2: Convert to fraction form
    81,687.87/112,752.54 = 47,704.32/x
  3. Step 3: Cross multiply
    81,687.87x = 112,752.54 × 47,704.32
  4. Step 4: Simplify right side
    81,687.87x = 5,378,783,248.97
  5. Step 5: Solve for x
    x = 5,378,783,248.97/81,687.87
  6. Step 6: Final answer
    x = 65,845.56

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Why These Related Problems?

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