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Finding the Fourth Proportional to 81,170.51, 112,046.62 and 72,657.61

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Solution

The fourth proportional to 81,170.51, 112,046.62 and 72,657.61 is: 100,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,170.51 : 112,046.62 = 72,657.61 : x
  2. Step 2: Convert to fraction form
    81,170.51/112,046.62 = 72,657.61/x
  3. Step 3: Cross multiply
    81,170.51x = 112,046.62 × 72,657.61
  4. Step 4: Simplify right side
    81,170.51x = 8,141,039,087.90
  5. Step 5: Solve for x
    x = 8,141,039,087.90/81,170.51
  6. Step 6: Final answer
    x = 100,295.53

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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.