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Finding the Fourth Proportional to 133,265.30, 199,932.54 and 39,771.05

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Solution

The fourth proportional to 133,265.30, 199,932.54 and 39,771.05 is: 59,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,265.30 : 199,932.54 = 39,771.05 : x
  2. Step 2: Convert to fraction form
    133,265.30/199,932.54 = 39,771.05/x
  3. Step 3: Cross multiply
    133,265.30x = 199,932.54 × 39,771.05
  4. Step 4: Simplify right side
    133,265.30x = 7,951,527,044.97
  5. Step 5: Solve for x
    x = 7,951,527,044.97/133,265.30
  6. Step 6: Final answer
    x = 59,666.90

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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.