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Finding the Fourth Proportional to 143,662.11, 198,253.71 and 83,267.78

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Solution

The fourth proportional to 143,662.11, 198,253.71 and 83,267.78 is: 114,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662.11 : 198,253.71 = 83,267.78 : x
  2. Step 2: Convert to fraction form
    143,662.11/198,253.71 = 83,267.78/x
  3. Step 3: Cross multiply
    143,662.11x = 198,253.71 × 83,267.78
  4. Step 4: Simplify right side
    143,662.11x = 16,508,146,081.09
  5. Step 5: Solve for x
    x = 16,508,146,081.09/143,662.11
  6. Step 6: Final answer
    x = 114,909.54

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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.