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Finding the Fourth Proportional to 133,063.30, 199,326.15 and 82,989.70

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Solution

The fourth proportional to 133,063.30, 199,326.15 and 82,989.70 is: 124,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063.30 : 199,326.15 = 82,989.70 : x
  2. Step 2: Convert to fraction form
    133,063.30/199,326.15 = 82,989.70/x
  3. Step 3: Cross multiply
    133,063.30x = 199,326.15 × 82,989.70
  4. Step 4: Simplify right side
    133,063.30x = 16,542,017,390.66
  5. Step 5: Solve for x
    x = 16,542,017,390.66/133,063.30
  6. Step 6: Final answer
    x = 124,316.90

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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.