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Finding the Fourth Proportional to 133,037.63, 199,450.48 and 76,813.96

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Solution

The fourth proportional to 133,037.63, 199,450.48 and 76,813.96 is: 115,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,037.63 : 199,450.48 = 76,813.96 : x
  2. Step 2: Convert to fraction form
    133,037.63/199,450.48 = 76,813.96/x
  3. Step 3: Cross multiply
    133,037.63x = 199,450.48 × 76,813.96
  4. Step 4: Simplify right side
    133,037.63x = 15,320,581,192.70
  5. Step 5: Solve for x
    x = 15,320,581,192.70/133,037.63
  6. Step 6: Final answer
    x = 115,159.76

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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.