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Finding the Fourth Proportional to 120,405.60, 166,164.34 and 66,689.46

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Solution

The fourth proportional to 120,405.60, 166,164.34 and 66,689.46 is: 92,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.60 : 166,164.34 = 66,689.46 : x
  2. Step 2: Convert to fraction form
    120,405.60/166,164.34 = 66,689.46/x
  3. Step 3: Cross multiply
    120,405.60x = 166,164.34 × 66,689.46
  4. Step 4: Simplify right side
    120,405.60x = 11,081,410,105.86
  5. Step 5: Solve for x
    x = 11,081,410,105.86/120,405.60
  6. Step 6: Final answer
    x = 92,034.01

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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.