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Finding the Fourth Proportional to 120,461.78, 166,241.58 and 72,705.80

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Solution

The fourth proportional to 120,461.78, 166,241.58 and 72,705.80 is: 100,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,461.78 : 166,241.58 = 72,705.80 : x
  2. Step 2: Convert to fraction form
    120,461.78/166,241.58 = 72,705.80/x
  3. Step 3: Cross multiply
    120,461.78x = 166,241.58 × 72,705.80
  4. Step 4: Simplify right side
    120,461.78x = 12,086,727,067.16
  5. Step 5: Solve for x
    x = 12,086,727,067.16/120,461.78
  6. Step 6: Final answer
    x = 100,336.61

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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.