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Finding the Fourth Proportional to 80,930.94, 111,645 and 54,080.04

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Solution

The fourth proportional to 80,930.94, 111,645 and 54,080.04 is: 74,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,930.94 : 111,645 = 54,080.04 : x
  2. Step 2: Convert to fraction form
    80,930.94/111,645 = 54,080.04/x
  3. Step 3: Cross multiply
    80,930.94x = 111,645 × 54,080.04
  4. Step 4: Simplify right side
    80,930.94x = 6,037,766,065.80
  5. Step 5: Solve for x
    x = 6,037,766,065.80/80,930.94
  6. Step 6: Final answer
    x = 74,603.93

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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.