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Finding the Fourth Proportional to 120,103.93, 165,736.22 and 66,385.74

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Solution

The fourth proportional to 120,103.93, 165,736.22 and 66,385.74 is: 91,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,103.93 : 165,736.22 = 66,385.74 : x
  2. Step 2: Convert to fraction form
    120,103.93/165,736.22 = 66,385.74/x
  3. Step 3: Cross multiply
    120,103.93x = 165,736.22 × 66,385.74
  4. Step 4: Simplify right side
    120,103.93x = 11,002,521,277.57
  5. Step 5: Solve for x
    x = 11,002,521,277.57/120,103.93
  6. Step 6: Final answer
    x = 91,608.34

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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.