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Finding the Fourth Proportional to 120,704.65, 166,564.65 and 66,989.70

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Solution

The fourth proportional to 120,704.65, 166,564.65 and 66,989.70 is: 92,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,704.65 : 166,564.65 = 66,989.70 : x
  2. Step 2: Convert to fraction form
    120,704.65/166,564.65 = 66,989.70/x
  3. Step 3: Cross multiply
    120,704.65x = 166,564.65 × 66,989.70
  4. Step 4: Simplify right side
    120,704.65x = 11,158,116,185.32
  5. Step 5: Solve for x
    x = 11,158,116,185.32/120,704.65
  6. Step 6: Final answer
    x = 92,441.48

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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.