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Finding the Fourth Proportional to 133,691.98, 200,403.03 and 83,807.11

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Solution

The fourth proportional to 133,691.98, 200,403.03 and 83,807.11 is: 125,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.98 : 200,403.03 = 83,807.11 : x
  2. Step 2: Convert to fraction form
    133,691.98/200,403.03 = 83,807.11/x
  3. Step 3: Cross multiply
    133,691.98x = 200,403.03 × 83,807.11
  4. Step 4: Simplify right side
    133,691.98x = 16,795,198,309.28
  5. Step 5: Solve for x
    x = 16,795,198,309.28/133,691.98
  6. Step 6: Final answer
    x = 125,626.07

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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.