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Finding the Fourth Proportional to 133,309.89, 199,965.03 and 53,383.85

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Solution

The fourth proportional to 133,309.89, 199,965.03 and 53,383.85 is: 80,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,309.89 : 199,965.03 = 53,383.85 : x
  2. Step 2: Convert to fraction form
    133,309.89/199,965.03 = 53,383.85/x
  3. Step 3: Cross multiply
    133,309.89x = 199,965.03 × 53,383.85
  4. Step 4: Simplify right side
    133,309.89x = 10,674,902,166.94
  5. Step 5: Solve for x
    x = 10,674,902,166.94/133,309.89
  6. Step 6: Final answer
    x = 80,075.85

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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.