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Finding the Fourth Proportional to 215,874.32, 297,908.50 and 119,081.88

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Solution

The fourth proportional to 215,874.32, 297,908.50 and 119,081.88 is: 164,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874.32 : 297,908.50 = 119,081.88 : x
  2. Step 2: Convert to fraction form
    215,874.32/297,908.50 = 119,081.88/x
  3. Step 3: Cross multiply
    215,874.32x = 297,908.50 × 119,081.88
  4. Step 4: Simplify right side
    215,874.32x = 35,475,504,247.98
  5. Step 5: Solve for x
    x = 35,475,504,247.98/215,874.32
  6. Step 6: Final answer
    x = 164,334.06

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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.