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Finding the Fourth Proportional to 120,633.54, 166,460.86 and 66,905.10

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Solution

The fourth proportional to 120,633.54, 166,460.86 and 66,905.10 is: 92,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,633.54 : 166,460.86 = 66,905.10 : x
  2. Step 2: Convert to fraction form
    120,633.54/166,460.86 = 66,905.10/x
  3. Step 3: Cross multiply
    120,633.54x = 166,460.86 × 66,905.10
  4. Step 4: Simplify right side
    120,633.54x = 11,137,080,484.39
  5. Step 5: Solve for x
    x = 11,137,080,484.39/120,633.54
  6. Step 6: Final answer
    x = 92,321.59

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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.