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Finding the Fourth Proportional to 71,770.79, 107,672.57 and 21,857.96

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Solution

The fourth proportional to 71,770.79, 107,672.57 and 21,857.96 is: 32,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.79 : 107,672.57 = 21,857.96 : x
  2. Step 2: Convert to fraction form
    71,770.79/107,672.57 = 21,857.96/x
  3. Step 3: Cross multiply
    71,770.79x = 107,672.57 × 21,857.96
  4. Step 4: Simplify right side
    71,770.79x = 2,353,502,728.16
  5. Step 5: Solve for x
    x = 2,353,502,728.16/71,770.79
  6. Step 6: Final answer
    x = 32,791.93

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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.