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Finding the Fourth Proportional to 78,896.74, 108,878.36 and 43,087.80

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Solution

The fourth proportional to 78,896.74, 108,878.36 and 43,087.80 is: 59,461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,896.74 : 108,878.36 = 43,087.80 : x
  2. Step 2: Convert to fraction form
    78,896.74/108,878.36 = 43,087.80/x
  3. Step 3: Cross multiply
    78,896.74x = 108,878.36 × 43,087.80
  4. Step 4: Simplify right side
    78,896.74x = 4,691,329,107.73
  5. Step 5: Solve for x
    x = 4,691,329,107.73/78,896.74
  6. Step 6: Final answer
    x = 59,461.64

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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.