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Finding the Fourth Proportional to 135,662.72, 203,515.84 and 42,149.12

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Solution

The fourth proportional to 135,662.72, 203,515.84 and 42,149.12 is: 63,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,662.72 : 203,515.84 = 42,149.12 : x
  2. Step 2: Convert to fraction form
    135,662.72/203,515.84 = 42,149.12/x
  3. Step 3: Cross multiply
    135,662.72x = 203,515.84 × 42,149.12
  4. Step 4: Simplify right side
    135,662.72x = 8,578,013,562.06
  5. Step 5: Solve for x
    x = 8,578,013,562.06/135,662.72
  6. Step 6: Final answer
    x = 63,230.44

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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.