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Finding the Fourth Proportional to 81,684.76, 112,375.02 and 78,185.56

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Solution

The fourth proportional to 81,684.76, 112,375.02 and 78,185.56 is: 107,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,684.76 : 112,375.02 = 78,185.56 : x
  2. Step 2: Convert to fraction form
    81,684.76/112,375.02 = 78,185.56/x
  3. Step 3: Cross multiply
    81,684.76x = 112,375.02 × 78,185.56
  4. Step 4: Simplify right side
    81,684.76x = 8,786,103,868.71
  5. Step 5: Solve for x
    x = 8,786,103,868.71/81,684.76
  6. Step 6: Final answer
    x = 107,561.12

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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.