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Finding the Fourth Proportional to 120,952.85, 166,914.49 and 66,508.58

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Solution

The fourth proportional to 120,952.85, 166,914.49 and 66,508.58 is: 91,781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,952.85 : 166,914.49 = 66,508.58 : x
  2. Step 2: Convert to fraction form
    120,952.85/166,914.49 = 66,508.58/x
  3. Step 3: Cross multiply
    120,952.85x = 166,914.49 × 66,508.58
  4. Step 4: Simplify right side
    120,952.85x = 11,101,245,148.15
  5. Step 5: Solve for x
    x = 11,101,245,148.15/120,952.85
  6. Step 6: Final answer
    x = 91,781.60

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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.