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Finding the Fourth Proportional to 215,872.80, 297,905.78 and 120,385.56

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Solution

The fourth proportional to 215,872.80, 297,905.78 and 120,385.56 is: 166,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.80 : 297,905.78 = 120,385.56 : x
  2. Step 2: Convert to fraction form
    215,872.80/297,905.78 = 120,385.56/x
  3. Step 3: Cross multiply
    215,872.80x = 297,905.78 × 120,385.56
  4. Step 4: Simplify right side
    215,872.80x = 35,863,554,152.54
  5. Step 5: Solve for x
    x = 35,863,554,152.54/215,872.80
  6. Step 6: Final answer
    x = 166,132.81

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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.