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Finding the Fourth Proportional to 81,863.45, 112,911.11 and 56,377.91

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Solution

The fourth proportional to 81,863.45, 112,911.11 and 56,377.91 is: 77,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,863.45 : 112,911.11 = 56,377.91 : x
  2. Step 2: Convert to fraction form
    81,863.45/112,911.11 = 56,377.91/x
  3. Step 3: Cross multiply
    81,863.45x = 112,911.11 × 56,377.91
  4. Step 4: Simplify right side
    81,863.45x = 6,365,691,551.14
  5. Step 5: Solve for x
    x = 6,365,691,551.14/81,863.45
  6. Step 6: Final answer
    x = 77,759.88

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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.