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Finding the Fourth Proportional to 81,732.49, 112,804.79 and 47,744.96

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Solution

The fourth proportional to 81,732.49, 112,804.79 and 47,744.96 is: 65,896.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732.49 : 112,804.79 = 47,744.96 : x
  2. Step 2: Convert to fraction form
    81,732.49/112,804.79 = 47,744.96/x
  3. Step 3: Cross multiply
    81,732.49x = 112,804.79 × 47,744.96
  4. Step 4: Simplify right side
    81,732.49x = 5,385,859,383.61
  5. Step 5: Solve for x
    x = 5,385,859,383.61/81,732.49
  6. Step 6: Final answer
    x = 65,896.19

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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.