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Finding the Fourth Proportional to 71,648.43, 107,370.80 and 52,780.09

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Solution

The fourth proportional to 71,648.43, 107,370.80 and 52,780.09 is: 79,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648.43 : 107,370.80 = 52,780.09 : x
  2. Step 2: Convert to fraction form
    71,648.43/107,370.80 = 52,780.09/x
  3. Step 3: Cross multiply
    71,648.43x = 107,370.80 × 52,780.09
  4. Step 4: Simplify right side
    71,648.43x = 5,667,040,487.37
  5. Step 5: Solve for x
    x = 5,667,040,487.37/71,648.43
  6. Step 6: Final answer
    x = 79,095.11

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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.