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Finding the Fourth Proportional to 87,953.64, 121,375.80 and 47,668.44

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Solution

The fourth proportional to 87,953.64, 121,375.80 and 47,668.44 is: 65,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,953.64 : 121,375.80 = 47,668.44 : x
  2. Step 2: Convert to fraction form
    87,953.64/121,375.80 = 47,668.44/x
  3. Step 3: Cross multiply
    87,953.64x = 121,375.80 × 47,668.44
  4. Step 4: Simplify right side
    87,953.64x = 5,785,795,039.75
  5. Step 5: Solve for x
    x = 5,785,795,039.75/87,953.64
  6. Step 6: Final answer
    x = 65,782.33

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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.