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Finding the Fourth Proportional to 203,408.15, 305,147.45 and 68,459.31

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Solution

The fourth proportional to 203,408.15, 305,147.45 and 68,459.31 is: 102,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,408.15 : 305,147.45 = 68,459.31 : x
  2. Step 2: Convert to fraction form
    203,408.15/305,147.45 = 68,459.31/x
  3. Step 3: Cross multiply
    203,408.15x = 305,147.45 × 68,459.31
  4. Step 4: Simplify right side
    203,408.15x = 20,890,184,046.41
  5. Step 5: Solve for x
    x = 20,890,184,046.41/203,408.15
  6. Step 6: Final answer
    x = 102,700.82

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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.