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Finding the Fourth Proportional to 135,749.80, 203,643.90 and 42,245.80

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Solution

The fourth proportional to 135,749.80, 203,643.90 and 42,245.80 is: 63,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,749.80 : 203,643.90 = 42,245.80 : x
  2. Step 2: Convert to fraction form
    135,749.80/203,643.90 = 42,245.80/x
  3. Step 3: Cross multiply
    135,749.80x = 203,643.90 × 42,245.80
  4. Step 4: Simplify right side
    135,749.80x = 8,603,099,470.62
  5. Step 5: Solve for x
    x = 8,603,099,470.62/135,749.80
  6. Step 6: Final answer
    x = 63,374.68

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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.