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Finding the Fourth Proportional to 89,651.64, 123,713.82 and 51,918.60

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Solution

The fourth proportional to 89,651.64, 123,713.82 and 51,918.60 is: 71,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,651.64 : 123,713.82 = 51,918.60 : x
  2. Step 2: Convert to fraction form
    89,651.64/123,713.82 = 51,918.60/x
  3. Step 3: Cross multiply
    89,651.64x = 123,713.82 × 51,918.60
  4. Step 4: Simplify right side
    89,651.64x = 6,423,048,335.05
  5. Step 5: Solve for x
    x = 6,423,048,335.05/89,651.64
  6. Step 6: Final answer
    x = 71,644.52

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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.