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Finding the Fourth Proportional to 214,916.16, 322,290 and 126,192

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Solution

The fourth proportional to 214,916.16, 322,290 and 126,192 is: 189,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,916.16 : 322,290 = 126,192 : x
  2. Step 2: Convert to fraction form
    214,916.16/322,290 = 126,192/x
  3. Step 3: Cross multiply
    214,916.16x = 322,290 × 126,192
  4. Step 4: Simplify right side
    214,916.16x = 40,670,419,680
  5. Step 5: Solve for x
    x = 40,670,419,680/214,916.16
  6. Step 6: Final answer
    x = 189,238.54

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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.