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Finding the Fourth Proportional to 120,326.80, 166,052.94 and 65,878.06

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Solution

The fourth proportional to 120,326.80, 166,052.94 and 65,878.06 is: 90,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,326.80 : 166,052.94 = 65,878.06 : x
  2. Step 2: Convert to fraction form
    120,326.80/166,052.94 = 65,878.06/x
  3. Step 3: Cross multiply
    120,326.80x = 166,052.94 × 65,878.06
  4. Step 4: Simplify right side
    120,326.80x = 10,939,245,544.50
  5. Step 5: Solve for x
    x = 10,939,245,544.50/120,326.80
  6. Step 6: Final answer
    x = 90,912.79

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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.