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Finding the Fourth Proportional to 120,578.81, 166,408.16 and 66,874.32

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Solution

The fourth proportional to 120,578.81, 166,408.16 and 66,874.32 is: 92,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,578.81 : 166,408.16 = 66,874.32 : x
  2. Step 2: Convert to fraction form
    120,578.81/166,408.16 = 66,874.32/x
  3. Step 3: Cross multiply
    120,578.81x = 166,408.16 × 66,874.32
  4. Step 4: Simplify right side
    120,578.81x = 11,128,432,208.08
  5. Step 5: Solve for x
    x = 11,128,432,208.08/120,578.81
  6. Step 6: Final answer
    x = 92,291.78

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1.5x scale

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.