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Finding the Fourth Proportional to 135,634, 203,451.04 and 42,139.76

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Solution

The fourth proportional to 135,634, 203,451.04 and 42,139.76 is: 63,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,634 : 203,451.04 = 42,139.76 : x
  2. Step 2: Convert to fraction form
    135,634/203,451.04 = 42,139.76/x
  3. Step 3: Cross multiply
    135,634x = 203,451.04 × 42,139.76
  4. Step 4: Simplify right side
    135,634x = 8,573,377,997.35
  5. Step 5: Solve for x
    x = 8,573,377,997.35/135,634
  6. Step 6: Final answer
    x = 63,209.65

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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.