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Finding the Fourth Proportional to 69,188.80, 103,822.64 and 27,072.28

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Solution

The fourth proportional to 69,188.80, 103,822.64 and 27,072.28 is: 40,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,188.80 : 103,822.64 = 27,072.28 : x
  2. Step 2: Convert to fraction form
    69,188.80/103,822.64 = 27,072.28/x
  3. Step 3: Cross multiply
    69,188.80x = 103,822.64 × 27,072.28
  4. Step 4: Simplify right side
    69,188.80x = 2,810,715,445.06
  5. Step 5: Solve for x
    x = 2,810,715,445.06/69,188.80
  6. Step 6: Final answer
    x = 40,623.85

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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.