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Finding the Fourth Proportional to 120,613.97, 166,310.88 and 76,948.23

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Solution

The fourth proportional to 120,613.97, 166,310.88 and 76,948.23 is: 106,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,613.97 : 166,310.88 = 76,948.23 : x
  2. Step 2: Convert to fraction form
    120,613.97/166,310.88 = 76,948.23/x
  3. Step 3: Cross multiply
    120,613.97x = 166,310.88 × 76,948.23
  4. Step 4: Simplify right side
    120,613.97x = 12,797,327,845.74
  5. Step 5: Solve for x
    x = 12,797,327,845.74/120,613.97
  6. Step 6: Final answer
    x = 106,101.54

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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.