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Finding the Fourth Proportional to 143,685.66, 198,286.09 and 83,291.28

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Solution

The fourth proportional to 143,685.66, 198,286.09 and 83,291.28 is: 114,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,685.66 : 198,286.09 = 83,291.28 : x
  2. Step 2: Convert to fraction form
    143,685.66/198,286.09 = 83,291.28/x
  3. Step 3: Cross multiply
    143,685.66x = 198,286.09 × 83,291.28
  4. Step 4: Simplify right side
    143,685.66x = 16,515,502,242.30
  5. Step 5: Solve for x
    x = 16,515,502,242.30/143,685.66
  6. Step 6: Final answer
    x = 114,941.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.