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Finding the Fourth Proportional to 215,755.95, 297,744.56 and 120,268.80

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Solution

The fourth proportional to 215,755.95, 297,744.56 and 120,268.80 is: 165,971.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,755.95 : 297,744.56 = 120,268.80 : x
  2. Step 2: Convert to fraction form
    215,755.95/297,744.56 = 120,268.80/x
  3. Step 3: Cross multiply
    215,755.95x = 297,744.56 × 120,268.80
  4. Step 4: Simplify right side
    215,755.95x = 35,809,380,787.39
  5. Step 5: Solve for x
    x = 35,809,380,787.39/215,755.95
  6. Step 6: Final answer
    x = 165,971.69

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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.