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Finding the Fourth Proportional to 66,942.82, 100,423.64 and 19,561.42

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Solution

The fourth proportional to 66,942.82, 100,423.64 and 19,561.42 is: 29,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.82 : 100,423.64 = 19,561.42 : x
  2. Step 2: Convert to fraction form
    66,942.82/100,423.64 = 19,561.42/x
  3. Step 3: Cross multiply
    66,942.82x = 100,423.64 × 19,561.42
  4. Step 4: Simplify right side
    66,942.82x = 1,964,428,999.97
  5. Step 5: Solve for x
    x = 1,964,428,999.97/66,942.82
  6. Step 6: Final answer
    x = 29,344.88

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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.