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Finding the Fourth Proportional to 66,231.66, 99,344.97 and 21,857.10

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Solution

The fourth proportional to 66,231.66, 99,344.97 and 21,857.10 is: 32,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,231.66 : 99,344.97 = 21,857.10 : x
  2. Step 2: Convert to fraction form
    66,231.66/99,344.97 = 21,857.10/x
  3. Step 3: Cross multiply
    66,231.66x = 99,344.97 × 21,857.10
  4. Step 4: Simplify right side
    66,231.66x = 2,171,392,943.79
  5. Step 5: Solve for x
    x = 2,171,392,943.79/66,231.66
  6. Step 6: Final answer
    x = 32,784.82

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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.