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Finding the Fourth Proportional to 143,958.72, 198,654.48 and 83,524.68

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Solution

The fourth proportional to 143,958.72, 198,654.48 and 83,524.68 is: 115,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,958.72 : 198,654.48 = 83,524.68 : x
  2. Step 2: Convert to fraction form
    143,958.72/198,654.48 = 83,524.68/x
  3. Step 3: Cross multiply
    143,958.72x = 198,654.48 × 83,524.68
  4. Step 4: Simplify right side
    143,958.72x = 16,592,551,872.57
  5. Step 5: Solve for x
    x = 16,592,551,872.57/143,958.72
  6. Step 6: Final answer
    x = 115,259.10

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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.