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Finding the Fourth Proportional to 81,716.94, 112,751.82 and 47,709.96

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Solution

The fourth proportional to 81,716.94, 112,751.82 and 47,709.96 is: 65,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,716.94 : 112,751.82 = 47,709.96 : x
  2. Step 2: Convert to fraction form
    81,716.94/112,751.82 = 47,709.96/x
  3. Step 3: Cross multiply
    81,716.94x = 112,751.82 × 47,709.96
  4. Step 4: Simplify right side
    81,716.94x = 5,379,384,822.13
  5. Step 5: Solve for x
    x = 5,379,384,822.13/81,716.94
  6. Step 6: Final answer
    x = 65,829.49

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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.