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Finding the Fourth Proportional to 47,649.64, 71,480.86 and 18,078.44

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Solution

The fourth proportional to 47,649.64, 71,480.86 and 18,078.44 is: 27,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,649.64 : 71,480.86 = 18,078.44 : x
  2. Step 2: Convert to fraction form
    47,649.64/71,480.86 = 18,078.44/x
  3. Step 3: Cross multiply
    47,649.64x = 71,480.86 × 18,078.44
  4. Step 4: Simplify right side
    47,649.64x = 1,292,262,438.66
  5. Step 5: Solve for x
    x = 1,292,262,438.66/47,649.64
  6. Step 6: Final answer
    x = 27,120.09

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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.