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Finding the Fourth Proportional to 120,223, 165,912.63 and 66,507.09

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Solution

The fourth proportional to 120,223, 165,912.63 and 66,507.09 is: 91,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223 : 165,912.63 = 66,507.09 : x
  2. Step 2: Convert to fraction form
    120,223/165,912.63 = 66,507.09/x
  3. Step 3: Cross multiply
    120,223x = 165,912.63 × 66,507.09
  4. Step 4: Simplify right side
    120,223x = 11,034,366,215.55
  5. Step 5: Solve for x
    x = 11,034,366,215.55/120,223
  6. Step 6: Final answer
    x = 91,782.49

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1.5x scale

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.