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Finding the Fourth Proportional to 143,255.66, 214,588.17 and 83,911.41

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Solution

The fourth proportional to 143,255.66, 214,588.17 and 83,911.41 is: 125,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,255.66 : 214,588.17 = 83,911.41 : x
  2. Step 2: Convert to fraction form
    143,255.66/214,588.17 = 83,911.41/x
  3. Step 3: Cross multiply
    143,255.66x = 214,588.17 × 83,911.41
  4. Step 4: Simplify right side
    143,255.66x = 18,006,395,914.02
  5. Step 5: Solve for x
    x = 18,006,395,914.02/143,255.66
  6. Step 6: Final answer
    x = 125,694.14

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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.