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Finding the Fourth Proportional to 120,523.71, 166,305.24 and 66,808.71

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Solution

The fourth proportional to 120,523.71, 166,305.24 and 66,808.71 is: 92,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,523.71 : 166,305.24 = 66,808.71 : x
  2. Step 2: Convert to fraction form
    120,523.71/166,305.24 = 66,808.71/x
  3. Step 3: Cross multiply
    120,523.71x = 166,305.24 × 66,808.71
  4. Step 4: Simplify right side
    120,523.71x = 11,110,638,550.64
  5. Step 5: Solve for x
    x = 11,110,638,550.64/120,523.71
  6. Step 6: Final answer
    x = 92,186.33

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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.