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Finding the Fourth Proportional to 120,402.96, 166,148.76 and 66,684.78

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Solution

The fourth proportional to 120,402.96, 166,148.76 and 66,684.78 is: 92,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,402.96 : 166,148.76 = 66,684.78 : x
  2. Step 2: Convert to fraction form
    120,402.96/166,148.76 = 66,684.78/x
  3. Step 3: Cross multiply
    120,402.96x = 166,148.76 × 66,684.78
  4. Step 4: Simplify right side
    120,402.96x = 11,079,593,507.87
  5. Step 5: Solve for x
    x = 11,079,593,507.87/120,402.96
  6. Step 6: Final answer
    x = 92,020.94

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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.