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Finding the Fourth Proportional to 133,286.63, 199,757.72 and 99,743.52

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Solution

The fourth proportional to 133,286.63, 199,757.72 and 99,743.52 is: 149,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,286.63 : 199,757.72 = 99,743.52 : x
  2. Step 2: Convert to fraction form
    133,286.63/199,757.72 = 99,743.52/x
  3. Step 3: Cross multiply
    133,286.63x = 199,757.72 × 99,743.52
  4. Step 4: Simplify right side
    133,286.63x = 19,924,538,139.97
  5. Step 5: Solve for x
    x = 19,924,538,139.97/133,286.63
  6. Step 6: Final answer
    x = 149,486.40

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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.