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Finding the Fourth Proportional to 120,654.12, 166,503.69 and 66,942.66

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Solution

The fourth proportional to 120,654.12, 166,503.69 and 66,942.66 is: 92,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,654.12 : 166,503.69 = 66,942.66 : x
  2. Step 2: Convert to fraction form
    120,654.12/166,503.69 = 66,942.66/x
  3. Step 3: Cross multiply
    120,654.12x = 166,503.69 × 66,942.66
  4. Step 4: Simplify right side
    120,654.12x = 11,146,199,908.42
  5. Step 5: Solve for x
    x = 11,146,199,908.42/120,654.12
  6. Step 6: Final answer
    x = 92,381.43

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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.