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Finding the Fourth Proportional to 215,902.80, 297,947.16 and 120,415.64

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Solution

The fourth proportional to 215,902.80, 297,947.16 and 120,415.64 is: 166,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,902.80 : 297,947.16 = 120,415.64 : x
  2. Step 2: Convert to fraction form
    215,902.80/297,947.16 = 120,415.64/x
  3. Step 3: Cross multiply
    215,902.80x = 297,947.16 × 120,415.64
  4. Step 4: Simplify right side
    215,902.80x = 35,877,496,467.85
  5. Step 5: Solve for x
    x = 35,877,496,467.85/215,902.80
  6. Step 6: Final answer
    x = 166,174.30

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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.