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Finding the Fourth Proportional to 120,163.30, 165,824.49 and 66,448.42

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Solution

The fourth proportional to 120,163.30, 165,824.49 and 66,448.42 is: 91,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,163.30 : 165,824.49 = 66,448.42 : x
  2. Step 2: Convert to fraction form
    120,163.30/165,824.49 = 66,448.42/x
  3. Step 3: Cross multiply
    120,163.30x = 165,824.49 × 66,448.42
  4. Step 4: Simplify right side
    120,163.30x = 11,018,775,357.81
  5. Step 5: Solve for x
    x = 11,018,775,357.81/120,163.30
  6. Step 6: Final answer
    x = 91,698.34

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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.