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Finding the Fourth Proportional to 81,859.74, 112,642.83 and 68,387.82

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Solution

The fourth proportional to 81,859.74, 112,642.83 and 68,387.82 is: 94,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,859.74 : 112,642.83 = 68,387.82 : x
  2. Step 2: Convert to fraction form
    81,859.74/112,642.83 = 68,387.82/x
  3. Step 3: Cross multiply
    81,859.74x = 112,642.83 × 68,387.82
  4. Step 4: Simplify right side
    81,859.74x = 7,703,397,582.33
  5. Step 5: Solve for x
    x = 7,703,397,582.33/81,859.74
  6. Step 6: Final answer
    x = 94,104.84

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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.