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Finding the Fourth Proportional to 120,374.58, 166,103.40 and 66,646.14

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Solution

The fourth proportional to 120,374.58, 166,103.40 and 66,646.14 is: 91,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,374.58 : 166,103.40 = 66,646.14 : x
  2. Step 2: Convert to fraction form
    120,374.58/166,103.40 = 66,646.14/x
  3. Step 3: Cross multiply
    120,374.58x = 166,103.40 × 66,646.14
  4. Step 4: Simplify right side
    120,374.58x = 11,070,150,450.88
  5. Step 5: Solve for x
    x = 11,070,150,450.88/120,374.58
  6. Step 6: Final answer
    x = 91,964.19

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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.