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Finding the Fourth Proportional to 36,231, 54,210.24 and 21,446.88

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Solution

The fourth proportional to 36,231, 54,210.24 and 21,446.88 is: 32,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,231 : 54,210.24 = 21,446.88 : x
  2. Step 2: Convert to fraction form
    36,231/54,210.24 = 21,446.88/x
  3. Step 3: Cross multiply
    36,231x = 54,210.24 × 21,446.88
  4. Step 4: Simplify right side
    36,231x = 1,162,640,512.05
  5. Step 5: Solve for x
    x = 1,162,640,512.05/36,231
  6. Step 6: Final answer
    x = 32,089.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.