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Finding the Fourth Proportional to 81,684.58, 112,736.92 and 49,871.92

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Solution

The fourth proportional to 81,684.58, 112,736.92 and 49,871.92 is: 68,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684.58 : 112,736.92 = 49,871.92 : x
  2. Step 2: Convert to fraction form
    81,684.58/112,736.92 = 49,871.92/x
  3. Step 3: Cross multiply
    81,684.58x = 112,736.92 × 49,871.92
  4. Step 4: Simplify right side
    81,684.58x = 5,622,406,655.29
  5. Step 5: Solve for x
    x = 5,622,406,655.29/81,684.58
  6. Step 6: Final answer
    x = 68,830.70

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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.