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Finding the Fourth Proportional to 214,874.92, 322,312.38 and 81,724.42

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Solution

The fourth proportional to 214,874.92, 322,312.38 and 81,724.42 is: 122,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,874.92 : 322,312.38 = 81,724.42 : x
  2. Step 2: Convert to fraction form
    214,874.92/322,312.38 = 81,724.42/x
  3. Step 3: Cross multiply
    214,874.92x = 322,312.38 × 81,724.42
  4. Step 4: Simplify right side
    214,874.92x = 26,340,792,314.32
  5. Step 5: Solve for x
    x = 26,340,792,314.32/214,874.92
  6. Step 6: Final answer
    x = 122,586.63

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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.