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Finding the Fourth Proportional to 120,204.84, 165,877.02 and 65,755.83

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Solution

The fourth proportional to 120,204.84, 165,877.02 and 65,755.83 is: 90,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,204.84 : 165,877.02 = 65,755.83 : x
  2. Step 2: Convert to fraction form
    120,204.84/165,877.02 = 65,755.83/x
  3. Step 3: Cross multiply
    120,204.84x = 165,877.02 × 65,755.83
  4. Step 4: Simplify right side
    120,204.84x = 10,907,381,128.03
  5. Step 5: Solve for x
    x = 10,907,381,128.03/120,204.84
  6. Step 6: Final answer
    x = 90,739.95

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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.