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Finding the Fourth Proportional to 120,635.76, 166,471.56 and 66,916.56

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Solution

The fourth proportional to 120,635.76, 166,471.56 and 66,916.56 is: 92,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,635.76 : 166,471.56 = 66,916.56 : x
  2. Step 2: Convert to fraction form
    120,635.76/166,471.56 = 66,916.56/x
  3. Step 3: Cross multiply
    120,635.76x = 166,471.56 × 66,916.56
  4. Step 4: Simplify right side
    120,635.76x = 11,139,704,133.03
  5. Step 5: Solve for x
    x = 11,139,704,133.03/120,635.76
  6. Step 6: Final answer
    x = 92,341.64

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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.