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Finding the Fourth Proportional to 215,843.20, 297,848.16 and 120,354.88

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Solution

The fourth proportional to 215,843.20, 297,848.16 and 120,354.88 is: 166,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.20 : 297,848.16 = 120,354.88 : x
  2. Step 2: Convert to fraction form
    215,843.20/297,848.16 = 120,354.88/x
  3. Step 3: Cross multiply
    215,843.20x = 297,848.16 × 120,354.88
  4. Step 4: Simplify right side
    215,843.20x = 35,847,479,555.02
  5. Step 5: Solve for x
    x = 35,847,479,555.02/215,843.20
  6. Step 6: Final answer
    x = 166,081.12

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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.