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Finding the Fourth Proportional to 89,604.88, 123,634.89 and 51,857.26

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Solution

The fourth proportional to 89,604.88, 123,634.89 and 51,857.26 is: 71,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,604.88 : 123,634.89 = 51,857.26 : x
  2. Step 2: Convert to fraction form
    89,604.88/123,634.89 = 51,857.26/x
  3. Step 3: Cross multiply
    89,604.88x = 123,634.89 × 51,857.26
  4. Step 4: Simplify right side
    89,604.88x = 6,411,366,635.80
  5. Step 5: Solve for x
    x = 6,411,366,635.80/89,604.88
  6. Step 6: Final answer
    x = 71,551.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.