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Finding the Fourth Proportional to 215,872.32, 297,905.74 and 119,079.88

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Solution

The fourth proportional to 215,872.32, 297,905.74 and 119,079.88 is: 164,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872.32 : 297,905.74 = 119,079.88 : x
  2. Step 2: Convert to fraction form
    215,872.32/297,905.74 = 119,079.88/x
  3. Step 3: Cross multiply
    215,872.32x = 297,905.74 × 119,079.88
  4. Step 4: Simplify right side
    215,872.32x = 35,474,579,770.51
  5. Step 5: Solve for x
    x = 35,474,579,770.51/215,872.32
  6. Step 6: Final answer
    x = 164,331.30

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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.