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Finding the Fourth Proportional to 120,433.59, 166,199.64 and 66,721.78

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Solution

The fourth proportional to 120,433.59, 166,199.64 and 66,721.78 is: 92,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.59 : 166,199.64 = 66,721.78 : x
  2. Step 2: Convert to fraction form
    120,433.59/166,199.64 = 66,721.78/x
  3. Step 3: Cross multiply
    120,433.59x = 166,199.64 × 66,721.78
  4. Step 4: Simplify right side
    120,433.59x = 11,089,135,400.66
  5. Step 5: Solve for x
    x = 11,089,135,400.66/120,433.59
  6. Step 6: Final answer
    x = 92,076.77

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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.