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Finding the Fourth Proportional to 135,614, 203,421.04 and 42,119.76

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Solution

The fourth proportional to 135,614, 203,421.04 and 42,119.76 is: 63,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,614 : 203,421.04 = 42,119.76 : x
  2. Step 2: Convert to fraction form
    135,614/203,421.04 = 42,119.76/x
  3. Step 3: Cross multiply
    135,614x = 203,421.04 × 42,119.76
  4. Step 4: Simplify right side
    135,614x = 8,568,045,383.75
  5. Step 5: Solve for x
    x = 8,568,045,383.75/135,614
  6. Step 6: Final answer
    x = 63,179.65

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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.