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Finding the Fourth Proportional to 120,609.12, 166,494.96 and 104,412

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Solution

The fourth proportional to 120,609.12, 166,494.96 and 104,412 is: 144,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,609.12 : 166,494.96 = 104,412 : x
  2. Step 2: Convert to fraction form
    120,609.12/166,494.96 = 104,412/x
  3. Step 3: Cross multiply
    120,609.12x = 166,494.96 × 104,412
  4. Step 4: Simplify right side
    120,609.12x = 17,384,071,763.52
  5. Step 5: Solve for x
    x = 17,384,071,763.52/120,609.12
  6. Step 6: Final answer
    x = 144,135.63

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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.