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Finding the Fourth Proportional to 68,274.88, 102,412.24 and 21,527.75

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Solution

The fourth proportional to 68,274.88, 102,412.24 and 21,527.75 is: 32,291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274.88 : 102,412.24 = 21,527.75 : x
  2. Step 2: Convert to fraction form
    68,274.88/102,412.24 = 21,527.75/x
  3. Step 3: Cross multiply
    68,274.88x = 102,412.24 × 21,527.75
  4. Step 4: Simplify right side
    68,274.88x = 2,204,705,099.66
  5. Step 5: Solve for x
    x = 2,204,705,099.66/68,274.88
  6. Step 6: Final answer
    x = 32,291.60

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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.