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Finding the Fourth Proportional to 120,353.43, 165,936.97 and 77,256.88

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Solution

The fourth proportional to 120,353.43, 165,936.97 and 77,256.88 is: 106,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,353.43 : 165,936.97 = 77,256.88 : x
  2. Step 2: Convert to fraction form
    120,353.43/165,936.97 = 77,256.88/x
  3. Step 3: Cross multiply
    120,353.43x = 165,936.97 × 77,256.88
  4. Step 4: Simplify right side
    120,353.43x = 12,819,772,578.85
  5. Step 5: Solve for x
    x = 12,819,772,578.85/120,353.43
  6. Step 6: Final answer
    x = 106,517.72

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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.