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Finding the Fourth Proportional to 120,609.60, 166,438.98 and 66,162

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Solution

The fourth proportional to 120,609.60, 166,438.98 and 66,162 is: 91,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,609.60 : 166,438.98 = 66,162 : x
  2. Step 2: Convert to fraction form
    120,609.60/166,438.98 = 66,162/x
  3. Step 3: Cross multiply
    120,609.60x = 166,438.98 × 66,162
  4. Step 4: Simplify right side
    120,609.60x = 11,011,935,794.76
  5. Step 5: Solve for x
    x = 11,011,935,794.76/120,609.60
  6. Step 6: Final answer
    x = 91,302.32

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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.