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Finding the Fourth Proportional to 100,157.82, 138,217.32 and 54,217.49

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Solution

The fourth proportional to 100,157.82, 138,217.32 and 54,217.49 is: 74,819.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,157.82 : 138,217.32 = 54,217.49 : x
  2. Step 2: Convert to fraction form
    100,157.82/138,217.32 = 54,217.49/x
  3. Step 3: Cross multiply
    100,157.82x = 138,217.32 × 54,217.49
  4. Step 4: Simplify right side
    100,157.82x = 7,493,795,473.84
  5. Step 5: Solve for x
    x = 7,493,795,473.84/100,157.82
  6. Step 6: Final answer
    x = 74,819.88

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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.