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Finding the Fourth Proportional to 143,175.43, 214,809.85 and 68,285.84

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Solution

The fourth proportional to 143,175.43, 214,809.85 and 68,285.84 is: 102,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,175.43 : 214,809.85 = 68,285.84 : x
  2. Step 2: Convert to fraction form
    143,175.43/214,809.85 = 68,285.84/x
  3. Step 3: Cross multiply
    143,175.43x = 214,809.85 × 68,285.84
  4. Step 4: Simplify right side
    143,175.43x = 14,668,471,572.11
  5. Step 5: Solve for x
    x = 14,668,471,572.11/143,175.43
  6. Step 6: Final answer
    x = 102,451.04

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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.