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Finding the Fourth Proportional to 78,828.92, 108,797.42 and 75,285.88

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Solution

The fourth proportional to 78,828.92, 108,797.42 and 75,285.88 is: 103,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828.92 : 108,797.42 = 75,285.88 : x
  2. Step 2: Convert to fraction form
    78,828.92/108,797.42 = 75,285.88/x
  3. Step 3: Cross multiply
    78,828.92x = 108,797.42 × 75,285.88
  4. Step 4: Simplify right side
    78,828.92x = 8,190,909,506.43
  5. Step 5: Solve for x
    x = 8,190,909,506.43/78,828.92
  6. Step 6: Final answer
    x = 103,907.42

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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.