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Finding the Fourth Proportional to 138,662.88, 191,310.04 and 109,498.64

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Solution

The fourth proportional to 138,662.88, 191,310.04 and 109,498.64 is: 151,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,662.88 : 191,310.04 = 109,498.64 : x
  2. Step 2: Convert to fraction form
    138,662.88/191,310.04 = 109,498.64/x
  3. Step 3: Cross multiply
    138,662.88x = 191,310.04 × 109,498.64
  4. Step 4: Simplify right side
    138,662.88x = 20,948,189,198.35
  5. Step 5: Solve for x
    x = 20,948,189,198.35/138,662.88
  6. Step 6: Final answer
    x = 151,072.80

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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.