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Finding the Fourth Proportional to 133,819.45, 200,729.52 and 45,135.25

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Solution

The fourth proportional to 133,819.45, 200,729.52 and 45,135.25 is: 67,702.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,819.45 : 200,729.52 = 45,135.25 : x
  2. Step 2: Convert to fraction form
    133,819.45/200,729.52 = 45,135.25/x
  3. Step 3: Cross multiply
    133,819.45x = 200,729.52 × 45,135.25
  4. Step 4: Simplify right side
    133,819.45x = 9,059,976,565.76
  5. Step 5: Solve for x
    x = 9,059,976,565.76/133,819.45
  6. Step 6: Final answer
    x = 67,702.99

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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.