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Finding the Fourth Proportional to 143,098.44, 214,708.68 and 71,983.68

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Solution

The fourth proportional to 143,098.44, 214,708.68 and 71,983.68 is: 108,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,098.44 : 214,708.68 = 71,983.68 : x
  2. Step 2: Convert to fraction form
    143,098.44/214,708.68 = 71,983.68/x
  3. Step 3: Cross multiply
    143,098.44x = 214,708.68 × 71,983.68
  4. Step 4: Simplify right side
    143,098.44x = 15,455,520,914.34
  5. Step 5: Solve for x
    x = 15,455,520,914.34/143,098.44
  6. Step 6: Final answer
    x = 108,006.22

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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.