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Finding the Fourth Proportional to 81,717.74, 112,724.97 and 75,938

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Solution

The fourth proportional to 81,717.74, 112,724.97 and 75,938 is: 104,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717.74 : 112,724.97 = 75,938 : x
  2. Step 2: Convert to fraction form
    81,717.74/112,724.97 = 75,938/x
  3. Step 3: Cross multiply
    81,717.74x = 112,724.97 × 75,938
  4. Step 4: Simplify right side
    81,717.74x = 8,560,108,771.86
  5. Step 5: Solve for x
    x = 8,560,108,771.86/81,717.74
  6. Step 6: Final answer
    x = 104,752.15

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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.