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Finding the Fourth Proportional to 120,433, 166,197.22 and 66,718.12

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Solution

The fourth proportional to 120,433, 166,197.22 and 66,718.12 is: 92,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433 : 166,197.22 = 66,718.12 : x
  2. Step 2: Convert to fraction form
    120,433/166,197.22 = 66,718.12/x
  3. Step 3: Cross multiply
    120,433x = 166,197.22 × 66,718.12
  4. Step 4: Simplify right side
    120,433x = 11,088,366,067.63
  5. Step 5: Solve for x
    x = 11,088,366,067.63/120,433
  6. Step 6: Final answer
    x = 92,070.83

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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.