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Finding the Fourth Proportional to 120,101.12, 165,736.32 and 65,651.12

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Solution

The fourth proportional to 120,101.12, 165,736.32 and 65,651.12 is: 90,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,101.12 : 165,736.32 = 65,651.12 : x
  2. Step 2: Convert to fraction form
    120,101.12/165,736.32 = 65,651.12/x
  3. Step 3: Cross multiply
    120,101.12x = 165,736.32 × 65,651.12
  4. Step 4: Simplify right side
    120,101.12x = 10,880,775,032.68
  5. Step 5: Solve for x
    x = 10,880,775,032.68/120,101.12
  6. Step 6: Final answer
    x = 90,596.78

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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.