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Finding the Fourth Proportional to 66,828.80, 100,243.08 and 27,385.96

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Solution

The fourth proportional to 66,828.80, 100,243.08 and 27,385.96 is: 41,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,828.80 : 100,243.08 = 27,385.96 : x
  2. Step 2: Convert to fraction form
    66,828.80/100,243.08 = 27,385.96/x
  3. Step 3: Cross multiply
    66,828.80x = 100,243.08 × 27,385.96
  4. Step 4: Simplify right side
    66,828.80x = 2,745,252,979.16
  5. Step 5: Solve for x
    x = 2,745,252,979.16/66,828.80
  6. Step 6: Final answer
    x = 41,078.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.