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Finding the Fourth Proportional to 149,472, 206,271.36 and 82,408.32

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Solution

The fourth proportional to 149,472, 206,271.36 and 82,408.32 is: 113,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,472 : 206,271.36 = 82,408.32 : x
  2. Step 2: Convert to fraction form
    149,472/206,271.36 = 82,408.32/x
  3. Step 3: Cross multiply
    149,472x = 206,271.36 × 82,408.32
  4. Step 4: Simplify right side
    149,472x = 16,998,476,241.72
  5. Step 5: Solve for x
    x = 16,998,476,241.72/149,472
  6. Step 6: Final answer
    x = 113,723.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.